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14914213952 = 261137955897
BaseRepresentation
bin11011110001111010…
…01101100001000000
31102111101201120100112
431320331031201000
5221021014321302
610503531210452
71035405504221
oct157075154100
942441646315
1014914213952
116363759760
122a828a6a28
131538b41191
14a16a93248
155c451b552
hex378f4d840

14914213952 has 56 divisors (see below), whose sum is σ = 32371649760. Its totient is φ = 6761180160.

The previous prime is 14914213943. The next prime is 14914213961. The reversal of 14914213952 is 25931241941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14914213943) and next prime (14914213961).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238868 + ... + 294764.

Almost surely, 214914213952 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 14914213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185824880).

14914213952 is an abundant number, since it is smaller than the sum of its proper divisors (17457435808).

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

14914213952 is a wasteful number, since it uses less digits than its factorization.

14914213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56299 (or 56289 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The spelling of 14914213952 in words is "fourteen billion, nine hundred fourteen million, two hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 379 704 758 1516 3032 4169 6064 8338 12128 16676 24256 33352 55897 66704 111794 133408 223588 266816 447176 614867 894352 1229734 1788704 2459468 3577408 4918936 9837872 19675744 21184963 39351488 42369926 84739852 169479704 233034593 338959408 466069186 677918816 932138372 1355837632 1864276744 3728553488 7457106976 14914213952