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15630056448 = 210313138839
BaseRepresentation
bin11101000111001111…
…11011110000000000
31111100021201010122120
432203213323300000
5224002243301243
611102542204240
71062220200456
oct164347736000
944307633576
1015630056448
1166a0839826
123042583680
131621239516
14a83b929d6
156172bcc83
hex3a39fbc00

15630056448 has 88 divisors (see below), whose sum is σ = 41978893440. Its totient is φ = 5170114560.

The previous prime is 15630056441. The next prime is 15630056459. The reversal of 15630056448 is 84465003651.

15630056448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15630056441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 383013 + ... + 421851.

It is an arithmetic number, because the mean of its divisors is an integer number (477032880).

Almost surely, 215630056448 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 15630056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20989446720).

15630056448 is an abundant number, since it is smaller than the sum of its proper divisors (26348836992).

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

15630056448 is a wasteful number, since it uses less digits than its factorization.

15630056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38993 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 15630056448 in words is "fifteen billion, six hundred thirty million, fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1024 1048 1536 1572 2096 3072 3144 4192 6288 8384 12576 16768 25152 33536 38839 50304 67072 77678 100608 116517 134144 155356 201216 233034 310712 402432 466068 621424 932136 1242848 1864272 2485696 3728544 4971392 5087909 7457088 9942784 10175818 14914176 15263727 19885568 20351636 29828352 30527454 39771136 40703272 59656704 61054908 81406544 119313408 122109816 162813088 244219632 325626176 488439264 651252352 976878528 1302504704 1953757056 2605009408 3907514112 5210018816 7815028224 15630056448