Search a number
-
+
23759094736 = 24131710216581
BaseRepresentation
bin10110001000001001…
…110000001111010000
32021022210221001210201
4112020021300033100
5342124312012421
614525331504544
71500525654526
oct261011601720
967283831721
1023759094736
11a092431593
124730a58154
13231841c450
14121564a316
15940ca6b91
hex5882703d0

23759094736 has 80 divisors (see below), whose sum is σ = 52549792848. Its totient is φ = 10309017600.

The previous prime is 23759094707. The next prime is 23759094743. The reversal of 23759094736 is 63749095732.

It can be written as a sum of positive squares in 8 ways, for example, as 485761600 + 23273333136 = 22040^2 + 152556^2 .

It is a congruent number.

It is an unprimeable number.

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, 3606966 + ... + 3613546.

Almost surely, 223759094736 is an apocalyptic number.

23759094736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23759094736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274896424).

23759094736 is an abundant number, since it is smaller than the sum of its proper divisors (28790698112).

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

23759094736 is a wasteful number, since it uses less digits than its factorization.

23759094736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 55.

The spelling of 23759094736 in words is "twenty-three billion, seven hundred fifty-nine million, ninety-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1021 1768 2042 3536 4084 6581 8168 13162 13273 16336 17357 26324 26546 34714 52648 53092 69428 85553 105296 106184 111877 138856 171106 212368 223754 225641 277712 342212 447508 451282 684424 895016 902564 1368848 1454401 1790032 1805128 2908802 3610256 5817604 6719201 11635208 13438402 23270416 26876804 53753608 87349613 107507216 114226417 174699226 228452834 349398452 456905668 698796904 913811336 1397593808 1484943421 1827622672 2969886842 5939773684 11879547368 23759094736