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645123136 = 26723137457
BaseRepresentation
bin100110011100111…
…100110001000000
31122221220122120111
4212130330301000
52310122420021
6144003121104
721662312320
oct4634746100
91587818514
10645123136
11301178619
12160073194
13a3867288
1461971280
153b9828e1
hex2673cc40

645123136 has 112 divisors (see below), whose sum is σ = 1541166336. Its totient is φ = 261955584.

The previous prime is 645123107. The next prime is 645123137. The reversal of 645123136 is 631321546.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 645123098 and 645123107.

It is not an unprimeable number, because it can be changed into a prime (645123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411420 + ... + 1411876.

Almost surely, 2645123136 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 645123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770583168).

645123136 is an abundant number, since it is smaller than the sum of its proper divisors (896043200).

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

645123136 is a wasteful number, since it uses less digits than its factorization.

645123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 645123136 is about 25399.2743203423. The cubic root of 645123136 is about 864.0672387086.

The spelling of 645123136 in words is "six hundred forty-five million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 137 161 184 224 274 322 368 448 457 548 644 736 914 959 1096 1288 1472 1828 1918 2192 2576 3151 3199 3656 3836 4384 5152 6302 6398 7312 7672 8768 10304 10511 12604 12796 14624 15344 21022 22057 25208 25592 29248 30688 42044 44114 50416 51184 61376 62609 73577 84088 88228 100832 102368 125218 147154 168176 176456 201664 204736 250436 294308 336352 352912 438263 500872 588616 672704 705824 876526 1001744 1177232 1411648 1440007 1753052 2003488 2354464 2880014 3506104 4006976 4708928 5760028 7012208 10080049 11520056 14024416 20160098 23040112 28048832 40320196 46080224 80640392 92160448 161280784 322561568 645123136