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150515401320 = 233251031405527
BaseRepresentation
bin1000110000101101101…
…0101100001001101000
3112101111200021121120100
42030023122230021220
54431223420320240
6153051255225400
713605624542004
oct2141332541150
9471450247510
10150515401320
1158919024859
1225207378260
131126929775b
1473dbdd5704
153dade8ae30
hex230b6ac268

150515401320 has 96 divisors (see below), whose sum is σ = 489650728320. Its totient is φ = 40098410880.

The previous prime is 150515401319. The next prime is 150515401321. The reversal of 150515401320 is 23104515051.

150515401320 is a `hidden beast` number, since 1 + 50 + 51 + 540 + 1 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (150515401319) and next prime (150515401321).

It is not an unprimeable number, because it can be changed into a prime (150515401321) 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, 168397 + ... + 573923.

It is an arithmetic number, because the mean of its divisors is an integer number (5100528420).

Almost surely, 2150515401320 is an apocalyptic number.

150515401320 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 150515401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244825364160).

150515401320 is an abundant number, since it is smaller than the sum of its proper divisors (339135327000).

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

150515401320 is a wasteful number, since it uses less digits than its factorization.

150515401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406575 (or 406568 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 150515401320 its reverse (23104515051), we get a palindrome (173619916371).

The spelling of 150515401320 in words is "one hundred fifty billion, five hundred fifteen million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1031 2062 3093 4124 5155 6186 8248 9279 10310 12372 15465 18558 20620 24744 30930 37116 41240 46395 61860 74232 92790 123720 185580 371160 405527 811054 1216581 1622108 2027635 2433162 3244216 3649743 4055270 4866324 6082905 7299486 8110540 9732648 12165810 14598972 16221080 18248715 24331620 29197944 36497430 48663240 72994860 145989720 418098337 836196674 1254295011 1672393348 2090491685 2508590022 3344786696 3762885033 4180983370 5017180044 6271475055 7525770066 8361966740 10034360088 12542950110 15051540132 16723933480 18814425165 25085900220 30103080264 37628850330 50171800440 75257700660 150515401320