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151116606192 = 243312514011009
BaseRepresentation
bin1000110010111101000…
…0000110101011110000
3112110001120112222121110
42030233100012223300
54433441322344232
6153231053153320
713626544646616
oct2145720065360
9473046488543
10151116606192
11590a7425992
122535478b840
13113339c5896
147457bb36b6
153de6b45acc
hex232f406af0

151116606192 has 160 divisors (see below), whose sum is σ = 405994014720. Its totient is φ = 48384000000.

The previous prime is 151116606181. The next prime is 151116606233. The reversal of 151116606192 is 291606611151.

It is a self number, because there is not a number n which added to its sum of digits gives 151116606192.

It is a congruent number.

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, 149768184 + ... + 149769192.

It is an arithmetic number, because the mean of its divisors is an integer number (2537462592).

Almost surely, 2151116606192 is an apocalyptic number.

151116606192 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 151116606192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202997007360).

151116606192 is an abundant number, since it is smaller than the sum of its proper divisors (254877408528).

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

151116606192 is a wasteful number, since it uses less digits than its factorization.

151116606192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 151116606192 in words is "one hundred fifty-one billion, one hundred sixteen million, six hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 251 372 401 496 502 744 753 802 1004 1009 1203 1488 1506 1604 2008 2018 2406 3012 3027 3208 4016 4036 4812 6024 6054 6416 7781 8072 9624 12048 12108 12431 15562 16144 19248 23343 24216 24862 31124 31279 37293 46686 48432 49724 62248 62558 74586 93372 93837 99448 100651 124496 125116 149172 186744 187674 198896 201302 250232 253259 298344 301953 373488 375348 402604 404609 500464 506518 596688 603906 750696 759777 805208 809218 1013036 1207812 1213827 1501392 1519554 1610416 1618436 2026072 2415624 2427654 3039108 3120181 3236872 4052144 4831248 4855308 6078216 6240362 6473744 7851029 9360543 9710616 12156432 12480724 12542879 15702058 18721086 19421232 23553087 24961448 25085758 31404116 37442172 37628637 47106174 49922896 50171516 62808232 74884344 75257274 94212348 100343032 101556859 125616464 149768688 150514548 188424696 200686064 203113718 301029096 304670577 376849392 406227436 602058192 609341154 812454872 1218682308 1624909744 2437364616 3148262629 4874729232 6296525258 9444787887 12593050516 18889575774 25186101032 37779151548 50372202064 75558303096 151116606192