Search a number
-
+
172004097366864 = 243271571086872519
BaseRepresentation
bin100111000110111111010011…
…000111111001101101010000
3211120000102122021200221201200
4213012333103013321231100
5140021103342411214424
61405453331432031200
751141612610304340
oct4706772307715520
9746012567627650
10172004097366864
114a89558990a494
121735b668232500
1374c8bbc236839
143069085384d20
1514d434bd4c8c9
hex9c6fd31f9b50

172004097366864 has 120 divisors (see below), whose sum is σ = 553644166707840. Its totient is φ = 48831008488704.

The previous prime is 172004097366863. The next prime is 172004097366889. The reversal of 172004097366864 is 468663790400271.

It is a happy number.

172004097366864 is a `hidden beast` number, since 1 + 7 + 20 + 0 + 409 + 73 + 66 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172004097366863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543278004 + ... + 543594515.

It is an arithmetic number, because the mean of its divisors is an integer number (4613701389232).

Almost surely, 2172004097366864 is an apocalyptic number.

172004097366864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

172004097366864 is an abundant number, since it is smaller than the sum of its proper divisors (381640069340976).

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

172004097366864 is a wasteful number, since it uses less digits than its factorization.

172004097366864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086872697 (or 1086872688 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 172004097366864 in words is "one hundred seventy-two trillion, four billion, ninety-seven million, three hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 157 168 252 314 336 471 504 628 942 1008 1099 1256 1413 1884 2198 2512 2826 3297 3768 4396 5652 6594 7536 8792 9891 11304 13188 17584 19782 22608 26376 39564 52752 79128 158256 1086872519 2173745038 3260617557 4347490076 6521235114 7608107633 8694980152 9781852671 13042470228 15216215266 17389960304 19563705342 22824322899 26084940456 30432430532 39127410684 45648645798 52169880912 60864861064 68472968697 78254821368 91297291596 121729722128 136945937394 156509642736 170638985483 182594583192 273891874788 341277970966 365189166384 511916956449 547783749576 682555941932 1023833912898 1095567499152 1194472898381 1365111883864 1535750869347 2047667825796 2388945796762 2730223767728 3071501738694 3583418695143 4095335651592 4777891593524 6143003477388 7166837390286 8190671303184 9555783187048 10750256085429 12286006954776 14333674780572 19111566374096 21500512170858 24572013909552 28667349561144 43001024341716 57334699122288 86002048683432 172004097366864