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23046278528 = 277132152197
BaseRepresentation
bin10101011101101010…
…100100110110000000
32012111010122020210102
4111131222210312000
5334144321403103
614330505421532
71444052064260
oct253552446600
965433566712
1023046278528
119857029189
12457219a8a8
132233843700
141188ad77a0
158ed401e88
hex55daa4d80

23046278528 has 96 divisors (see below), whose sum is σ = 56818557360. Its totient is φ = 9117149184.

The previous prime is 23046278449. The next prime is 23046278539. The reversal of 23046278528 is 82587264032.

It is a super-2 number, since 2×230462785282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75326 + ... + 227522.

Almost surely, 223046278528 is an apocalyptic number.

23046278528 is a gapful number since it is divisible by the number (28) 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 23046278528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409278680).

23046278528 is an abundant number, since it is smaller than the sum of its proper divisors (33772278832).

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

23046278528 is a wasteful number, since it uses less digits than its factorization.

23046278528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152244 (or 152219 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 23046278528 in words is "twenty-three billion, forty-six million, two hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1183 1352 1456 1664 2366 2704 2912 4732 5408 5824 9464 10816 11648 18928 21632 37856 75712 151424 152197 304394 608788 1065379 1217576 1978561 2130758 2435152 3957122 4261516 4870304 7914244 8523032 9740608 13849927 15828488 17046064 19481216 25721293 27699854 31656976 34092128 51442586 55399708 63313952 68184256 102885172 110799416 126627904 136368512 180049051 205770344 221598832 253255808 360098102 411540688 443197664 720196204 823081376 886395328 1440392408 1646162752 1772790656 2880784816 3292325504 5761569632 11523139264 23046278528