Search a number
-
+
155029818672 = 2433795218719
BaseRepresentation
bin1001000001100001111…
…1110100110100110000
3112211011021221202222000
42100120133310310300
510020000113144142
6155115243014000
714125532500431
oct2203037646460
9484137852860
10155029818672
115a825322393
122606720a300
131180864b621
1477097b5488
15407547614c
hex24187f4d30

155029818672 has 160 divisors (see below), whose sum is σ = 451542528000. Its totient is φ = 50918699520.

The previous prime is 155029818659. The next prime is 155029818689. The reversal of 155029818672 is 276818920551.

155029818672 is a `hidden beast` number, since 1 + 550 + 2 + 9 + 8 + 1 + 86 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17776329 + ... + 17785047.

It is an arithmetic number, because the mean of its divisors is an integer number (2822140800).

Almost surely, 2155029818672 is an apocalyptic number.

155029818672 is a gapful number since it is divisible by the number (12) 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 155029818672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225771264000).

155029818672 is an abundant number, since it is smaller than the sum of its proper divisors (296512709328).

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

155029818672 is a wasteful number, since it uses less digits than its factorization.

155029818672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 155029818672 in words is "one hundred fifty-five billion, twenty-nine million, eight hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 521 632 711 948 1042 1264 1422 1563 1896 2084 2133 2844 3126 3792 4168 4266 4689 5688 6252 8336 8532 8719 9378 11376 12504 14067 17064 17438 18756 25008 26157 28134 34128 34876 37512 41159 52314 56268 69752 75024 78471 82318 104628 112536 123477 139504 156942 164636 209256 225072 235413 246954 313884 329272 370431 418512 470826 493908 627768 658544 688801 740862 941652 987816 1111293 1255536 1377602 1481724 1883304 1975632 2066403 2222586 2755204 2963448 3766608 4132806 4445172 4542599 5510408 5926896 6199209 8265612 8890344 9085198 11020816 12398418 13627797 16531224 17780688 18170396 18597627 24796836 27255594 33062448 36340792 37195254 40883391 49593672 54511188 72681584 74390508 81766782 99187344 109022376 122650173 148781016 163533564 218044752 245300346 297562032 327067128 358865321 490600692 654134256 717730642 981201384 1076595963 1435461284 1962402768 2153191926 2870922568 3229787889 4306383852 5741845136 6459575778 8612767704 9689363667 12919151556 17225535408 19378727334 25838303112 38757454668 51676606224 77514909336 155029818672