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23730749376 = 2632337314407
BaseRepresentation
bin10110000110011101…
…100111111111000000
32021020211120222021120
4112012131213333000
5342100032440001
614522440152240
71500033020145
oct260635477700
967224528246
1023730749376
11a078431274
124723468680
1323125a6649
14121198c3cc
1593d558236
hex586767fc0

23730749376 has 112 divisors (see below), whose sum is σ = 65697713664. Its totient is φ = 7545517056.

The previous prime is 23730749347. The next prime is 23730749381. The reversal of 23730749376 is 67394703732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639965 + ... + 1654371.

Almost surely, 223730749376 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 23730749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32848856832).

23730749376 is an abundant number, since it is smaller than the sum of its proper divisors (41966964288).

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

23730749376 is a wasteful number, since it uses less digits than its factorization.

23730749376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 51.

The spelling of 23730749376 in words is "twenty-three billion, seven hundred thirty million, seven hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 373 552 736 746 1104 1119 1472 1492 2208 2238 2984 4416 4476 5968 8579 8952 11936 14407 17158 17904 23872 25737 28814 34316 35808 43221 51474 57628 68632 71616 86442 102948 115256 137264 172884 205896 230512 274528 331361 345768 411792 461024 549056 662722 691536 823584 922048 994083 1325444 1383072 1647168 1988166 2650888 2766144 3976332 5301776 5373811 7952664 10603552 10747622 15905328 16121433 21207104 21495244 31810656 32242866 42990488 63621312 64485732 85980976 123597653 128971464 171961952 247195306 257942928 343923904 370792959 494390612 515885856 741585918 988781224 1031771712 1483171836 1977562448 2966343672 3955124896 5932687344 7910249792 11865374688 23730749376