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5629413864 = 23317106912907
BaseRepresentation
bin1010011111000101…
…00000100111101000
3112112022201212001210
411033202200213220
543012112220424
62330333513120
7256334141214
oct51742404750
915468655053
105629413864
112429725a58
1211113427a0
136b9385729
143b5903944
1522e334729
hex14f8a09e8

5629413864 has 64 divisors (see below), whose sum is σ = 14916484800. Its totient is φ = 1764301824.

The previous prime is 5629413863. The next prime is 5629413869. The reversal of 5629413864 is 4683149265.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5629413863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429699 + ... + 442605.

It is an arithmetic number, because the mean of its divisors is an integer number (233070075).

Almost surely, 25629413864 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 5629413864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458242400).

5629413864 is an abundant number, since it is smaller than the sum of its proper divisors (9287070936).

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

5629413864 is a wasteful number, since it uses less digits than its factorization.

5629413864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 13998 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 5629413864 is about 75029.4199897613. The cubic root of 5629413864 is about 1778.9117052424.

The spelling of 5629413864 in words is "five billion, six hundred twenty-nine million, four hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1069 2138 3207 4276 6414 8552 12828 12907 18173 25656 25814 36346 38721 51628 54519 72692 77442 103256 109038 145384 154884 218076 219419 309768 436152 438838 658257 877676 1316514 1755352 2633028 5266056 13797583 27595166 41392749 55190332 82785498 110380664 165570996 234558911 331141992 469117822 703676733 938235644 1407353466 1876471288 2814706932 5629413864