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23048789952 = 263198970991
BaseRepresentation
bin10101011101110100…
…001001111111000000
32012111022100211211010
4111131310021333000
5334200442234302
614331035320520
71444112324226
oct253564117700
965438324733
1023048789952
119858494041
124572bb0140
132234212866
14118918cb16
158ed74b16c
hex55dd09fc0

23048789952 has 112 divisors (see below), whose sum is σ = 64915084800. Its totient is φ = 7196682240.

The previous prime is 23048789921. The next prime is 23048790007. The reversal of 23048789952 is 25998784032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 23048789892 and 23048789901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289177 + ... + 360167.

Almost surely, 223048789952 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 23048789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32457542400).

23048789952 is an abundant number, since it is smaller than the sum of its proper divisors (41866294848).

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

23048789952 is a wasteful number, since it uses less digits than its factorization.

23048789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71114 (or 71104 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 23048789952 in words is "twenty-three billion, forty-eight million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 89 96 114 152 178 192 228 267 304 356 456 534 608 712 912 1068 1216 1424 1691 1824 2136 2848 3382 3648 4272 5073 5696 6764 8544 10146 13528 17088 20292 27056 40584 54112 70991 81168 108224 141982 162336 212973 283964 324672 425946 567928 851892 1135856 1348829 1703784 2271712 2697658 3407568 4046487 4543424 5395316 6318199 6815136 8092974 10790632 12636398 13630272 16185948 18954597 21581264 25272796 32371896 37909194 43162528 50545592 64743792 75818388 86325056 101091184 120045781 129487584 151636776 202182368 240091562 258975168 303273552 360137343 404364736 480183124 606547104 720274686 960366248 1213094208 1440549372 1920732496 2881098744 3841464992 5762197488 7682929984 11524394976 23048789952