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104542849400 = 235211235720161
BaseRepresentation
bin110000101011100111…
…1010100100101111000
3100222211202211000002012
41201113033110211320
53203100432140100
6120005404025052
710360445362253
oct1412717244570
9328752730065
10104542849400
11403777930a0
1218317232188
139b20a39a02
1450ba52209a
152abce8e135
hex18573d4978

104542849400 has 96 divisors (see below), whose sum is σ = 265284337680. Its totient is φ = 37997568000.

The previous prime is 104542849393. The next prime is 104542849403. The reversal of 104542849400 is 4948245401.

It is a happy number.

It is a super-3 number, since 3×1045428494003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104542849403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5175320 + ... + 5195480.

Almost surely, 2104542849400 is an apocalyptic number.

104542849400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104542849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132642168840).

104542849400 is an abundant number, since it is smaller than the sum of its proper divisors (160741488280).

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

104542849400 is a wasteful number, since it uses less digits than its factorization.

104542849400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22545 (or 22536 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 104542849400 in words is "one hundred four billion, five hundred forty-two million, eight hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2357 4714 9428 11785 18856 20161 23570 25927 40322 47140 51854 58925 80644 94280 100805 103708 117850 129635 161288 201610 207416 221771 235700 259270 403220 443542 471400 504025 518540 648175 806440 887084 1008050 1037080 1108855 1296350 1774168 2016100 2217710 2592700 4032200 4435420 5185400 5544275 8870840 11088550 22177100 44354200 47519477 95038954 190077908 237597385 380155816 475194770 522714247 950389540 1045428494 1187986925 1900779080 2090856988 2375973850 2613571235 4181713976 4751947700 5227142470 9503895400 10454284940 13067856175 20908569880 26135712350 52271424700 104542849400