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151538900596812 = 223103717340031
BaseRepresentation
bin100010011101001011100110…
…010101101111100001001100
3201212112222101112110000000000
4202131023212111233201030
5124330303132023044222
61254144002044404300
743630216140043551
oct4235134625574114
9655488345400000
10151538900596812
1144315317859813
1214bb5307246690
136673098332931
14295c74422ca28
15127bd1b9e69ac
hex89d2e656f84c

151538900596812 has 132 divisors (see below), whose sum is σ = 408538402053376. Its totient is φ = 49147748710560.

The previous prime is 151538900596771. The next prime is 151538900596891. The reversal of 151538900596812 is 218695009835151.

151538900596812 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 38 + 9 + 0 + 0 + 596 + 8 + 1 + 2 = 666.

151538900596812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 151538900596812.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 69237 + ... + 17409267.

Almost surely, 2151538900596812 is an apocalyptic number.

151538900596812 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 151538900596812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204269201026688).

151538900596812 is an abundant number, since it is smaller than the sum of its proper divisors (256999501456564).

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

151538900596812 is an equidigital number, since it uses as much as digits as its factorization.

151538900596812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17340102 (or 17340073 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 151538900596812 in words is "one hundred fifty-one trillion, five hundred thirty-eight billion, nine hundred million, five hundred ninety-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2187 2916 2997 3996 4374 5994 6561 8748 8991 11988 13122 17982 19683 26244 26973 35964 39366 53946 59049 78732 80919 107892 118098 161838 236196 242757 323676 485514 728271 971028 1456542 2184813 2913084 4369626 8739252 17340031 34680062 52020093 69360124 104040186 156060279 208080372 312120558 468180837 624241116 641581147 936361674 1283162294 1404542511 1872723348 1924743441 2566324588 2809085022 3849486882 4213627533 5618170044 5774230323 7698973764 8427255066 11548460646 12640882599 16854510132 17322690969 23096921292 25281765198 34645381938 37922647797 50563530396 51968072907 69290763876 75845295594 103936145814 113767943391 151690591188 155904218721 207872291628 227535886782 311808437442 341303830173 455071773564 467712656163 623616874884 682607660346 935425312326 1023911490519 1365215320692 1403137968489 1870850624652 2047822981038 2806275936978 4095645962076 4209413905467 5612551873956 8418827810934 12628241716401 16837655621868 25256483432802 37884725149203 50512966865604 75769450298406 151538900596812