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151600656012 = 2231329283118411
BaseRepresentation
bin1000110100110000011…
…0100110111010001100
3112111022022101021010120
42031030012212322030
54440434231443022
6153351104104540
713644543212601
oct2151406467214
9474268337116
10151600656012
1159325688763
122546a905150
13113b00849b0
1474a21b66a8
153e243acd5c
hex234c1a6e8c

151600656012 has 96 divisors (see below), whose sum is σ = 395477134080. Its totient is φ = 44878337280.

The previous prime is 151600656007. The next prime is 151600656037. The reversal of 151600656012 is 210656006151.

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, 1221087 + ... + 1339497.

It is an arithmetic number, because the mean of its divisors is an integer number (4119553480).

Almost surely, 2151600656012 is an apocalyptic number.

151600656012 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 151600656012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197738567040).

151600656012 is an abundant number, since it is smaller than the sum of its proper divisors (243876478068).

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

151600656012 is a wasteful number, since it uses less digits than its factorization.

151600656012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118743 (or 118741 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 151600656012 in words is "one hundred fifty-one billion, six hundred million, six hundred fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 283 348 377 566 754 849 1131 1132 1508 1698 2262 3396 3679 4524 7358 8207 11037 14716 16414 22074 24621 32828 44148 49242 98484 106691 118411 213382 236822 320073 355233 426764 473644 640146 710466 1280292 1420932 1539343 3078686 3433919 4618029 6157372 6867838 9236058 10301757 13735676 18472116 20603514 33510313 41207028 44640947 67020626 89281894 100530939 133922841 134041252 178563788 201061878 267845682 402123756 435634069 535691364 871268138 971799077 1306902207 1742536276 1943598154 2613804414 2915397231 3887196308 5227608828 5830794462 11661588924 12633388001 25266776002 37900164003 50533552004 75800328006 151600656012