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154536738972 = 223711229524287
BaseRepresentation
bin1000111111101100011…
…0111000000010011100
3112202212221010201202220
42033323012320002130
510012442401121342
6154554310345340
714110364415330
oct2177306700234
9482787121686
10154536738972
115a5a1a62300
1225b4a05b250
131175a44a3a5
1476a01017c0
1540470285ec
hex23fb1b809c

154536738972 has 144 divisors (see below), whose sum is σ = 468587642880. Its totient is φ = 38755221120.

The previous prime is 154536738959. The next prime is 154536738991. The reversal of 154536738972 is 279837635451.

It is a happy number.

154536738972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32613 + ... + 556899.

Almost surely, 2154536738972 is an apocalyptic number.

154536738972 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 154536738972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234293821440).

154536738972 is an abundant number, since it is smaller than the sum of its proper divisors (314050903908).

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

154536738972 is a wasteful number, since it uses less digits than its factorization.

154536738972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524352 (or 524339 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The spelling of 154536738972 in words is "one hundred fifty-four billion, five hundred thirty-six million, seven hundred thirty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 121 132 154 174 203 231 242 308 319 348 363 406 462 484 609 638 726 812 847 924 957 1218 1276 1452 1694 1914 2233 2436 2541 3388 3509 3828 4466 5082 6699 7018 8932 10164 10527 13398 14036 21054 24563 26796 42108 49126 73689 98252 147378 294756 524287 1048574 1572861 2097148 3145722 3670009 5767157 6291444 7340018 11010027 11534314 14680036 15204323 17301471 22020054 23068628 30408646 34602942 40370099 44040108 45612969 60817292 63438727 69205884 80740198 91225938 106430261 121110297 126877454 161480396 167247553 182451876 190316181 212860522 242220594 253754908 319290783 334495106 380632362 425721044 444071089 484441188 501742659 638581566 668990212 761264724 888142178 1003485318 1170732871 1277163132 1332213267 1776284356 1839723083 2006970636 2341465742 2664426534 3512198613 3679446166 4682931484 5328853068 5519169249 7024397226 7358892332 11038338498 12878061581 14048794452 22076676996 25756123162 38634184743 51512246324 77268369486 154536738972