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796926382230100 = 22522910110725428167
BaseRepresentation
bin1011010100110011001110000…
…1111011001100101001010100
310212111200102021210102202122011
42311030303201323030221110
51313423320212322330400
611502530531554114004
7326601013443606043
oct26514634173145124
93774612253382564
10796926382230100
11210a1a642a39471
1275469808b7b904
1328289ab245bb05
14100b162aaca55a
15621ed3d9d58ba
hex2d4cce1ecca54

796926382230100 has 144 divisors (see below), whose sum is σ = 1823559708458880. Its totient is φ = 301883186752000.

The previous prime is 796926382230079. The next prime is 796926382230101. The reversal of 796926382230100 is 1032283629697.

796926382230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796926382230101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18626217 + ... + 44054383.

It is an arithmetic number, because the mean of its divisors is an integer number (12663609086520).

Almost surely, 2796926382230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796926382230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911779854229440).

796926382230100 is an abundant number, since it is smaller than the sum of its proper divisors (1026633326228780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

796926382230100 is a wasteful number, since it uses less digits than its factorization.

796926382230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25428418 (or 25428411 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 796926382230100 in words is "seven hundred ninety-six trillion, nine hundred twenty-six billion, three hundred eighty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 107 116 145 202 214 290 404 428 505 535 580 725 1010 1070 1450 2020 2140 2525 2675 2900 2929 3103 5050 5350 5858 6206 10100 10700 10807 11716 12412 14645 15515 21614 29290 31030 43228 54035 58580 62060 73225 77575 108070 146450 155150 216140 270175 292900 310300 313403 540350 626806 1080700 1253612 1567015 3134030 6268060 7835075 15670150 25428167 31340300 50856334 101712668 127140835 254281670 508563340 635704175 737416843 1271408350 1474833686 2542816700 2568244867 2720813869 2949667372 3687084215 5136489734 5441627738 7374168430 10272979468 10883255476 12841224335 13604069345 14748336860 18435421075 25682448670 27208138690 36870842150 51364897340 54416277380 64206121675 68020346725 73741684300 74479101143 78903602201 128412243350 136040693450 148958202286 157807204402 256824486700 272081386900 274802200769 297916404572 315614408804 372395505715 394518011005 549604401538 744791011430 789036022010 1099208803076 1374011003845 1489582022860 1578072044020 1861977528575 1972590055025 2748022007690 3723955057150 3945180110050 5496044015380 6870055019225 7447910114300 7890360220100 7969263822301 13740110038450 15938527644602 27480220076900 31877055289204 39846319111505 79692638223010 159385276446020 199231595557525 398463191115050 796926382230100