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23711072256 = 214324012
BaseRepresentation
bin10110000101010010…
…100100000000000000
32021012110120021100100
4112011102210000000
5342030013303011
614520454322400
71466403534354
oct260522440000
967173507310
1023711072256
11a068311593
124718959400
13230b4a7191
14120d109464
1593b96cd56
hex5854a4000

23711072256 has 135 divisors (see below), whose sum is σ = 68667803113. Its totient is φ = 7883980800.

The previous prime is 23711072243. The next prime is 23711072291. The reversal of 23711072256 is 65227011732.

The square root of 23711072256 is 153984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23475142656 + 235929600 = 153216^2 + 15360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23711072256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59129656 + ... + 59130056.

Almost surely, 223711072256 is an apocalyptic number.

23711072256 is the 153984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23711072256

23711072256 is an abundant number, since it is smaller than the sum of its proper divisors (44956730857).

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

23711072256 is an frugal number, since it uses more digits than its factorization.

23711072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 23711072256 by its sum of digits (36), we get a square (853598601216 = 9239042).

23711072256 divided by its sum of digits (36) gives a square (658640896 = 256642).

Adding to 23711072256 its reverse (65227011732), we get a palindrome (88938083988).

The spelling of 23711072256 in words is "twenty-three billion, seven hundred eleven million, seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 401 512 576 768 802 1024 1152 1203 1536 1604 2048 2304 2406 3072 3208 3609 4096 4608 4812 6144 6416 7218 8192 9216 9624 12288 12832 14436 16384 18432 19248 24576 25664 28872 36864 38496 49152 51328 57744 73728 76992 102656 115488 147456 153984 160801 205312 230976 307968 321602 410624 461952 482403 615936 643204 821248 923904 964806 1231872 1286408 1447209 1642496 1847808 1929612 2463744 2572816 2894418 3284992 3695616 3859224 4927488 5145632 5788836 6569984 7391232 7718448 9854976 10291264 11577672 14782464 15436896 19709952 20582528 23155344 29564928 30873792 41165056 46310688 59129856 61747584 82330112 92621376 123495168 164660224 185242752 246990336 329320448 370485504 493980672 658640896 740971008 987961344 1317281792 1481942016 1975922688 2634563584 2963884032 3951845376 5927768064 7903690752 11855536128 23711072256