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151405862912 = 21320299109
BaseRepresentation
bin1000110100000001111…
…1100010000000000000
3112110210201211202020022
42031000133202000000
54440034400103122
6153315505033012
713636656412643
oct2150037420000
9473721752208
10151405862912
1159235731827
1225415625768
131137b9016c5
14748438ba5a
153e12231642
hex23407e2000

151405862912 has 56 divisors (see below), whose sum is σ = 302975733900. Its totient is φ = 75657314304.

The previous prime is 151405862903. The next prime is 151405862957. The reversal of 151405862912 is 219268504151.

It can be written as a sum of positive squares in 2 ways, for example, as 148983648256 + 2422214656 = 385984^2 + 49216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16617014 + ... + 16626122.

Almost surely, 2151405862912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151405862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151487866950).

151405862912 is an abundant number, since it is smaller than the sum of its proper divisors (151569870988).

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

151405862912 is an frugal number, since it uses more digits than its factorization.

151405862912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 151405862912 in words is "one hundred fifty-one billion, four hundred five million, eight hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2029 2048 4058 4096 8116 8192 9109 16232 18218 32464 36436 64928 72872 129856 145744 259712 291488 519424 582976 1038848 1165952 2077696 2331904 4155392 4663808 8310784 9327616 16621568 18482161 18655232 36964322 37310464 73928644 74620928 147857288 295714576 591429152 1182858304 2365716608 4731433216 9462866432 18925732864 37851465728 75702931456 151405862912