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15314613152 = 256128012
BaseRepresentation
bin11100100001101001…
…00111001110100000
31110112022010221210112
432100310213032200
5222331020110102
611011353150452
71051340030636
oct162064471640
943468127715
1015314613152
116549777593
122b749bb428
1315a0a92397
14a53d1d356
155e975d252
hex390d273a0

15314613152 has 36 divisors (see below), whose sum is σ = 30655862118. Its totient is φ = 7529088000.

The previous prime is 15314613079. The next prime is 15314613157. The reversal of 15314613152 is 25131641351.

It can be written as a sum of positive squares in 3 ways, for example, as 9193741456 + 6120871696 = 95884^2 + 78236^2 .

It is a super-2 number, since 2×153146131522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (15314613157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5466152 + ... + 5468952.

Almost surely, 215314613152 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 15314613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327931059).

15314613152 is an abundant number, since it is smaller than the sum of its proper divisors (15341248966).

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

15314613152 is an frugal number, since it uses more digits than its factorization.

15314613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 2864 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The spelling of 15314613152 in words is "fifteen billion, three hundred fourteen million, six hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2801 5602 11204 22408 44816 89632 170861 341722 683444 1366888 2733776 5467552 7845601 15691202 31382404 62764808 125529616 251059232 478581661 957163322 1914326644 3828653288 7657306576 15314613152