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23147947328 = 2611131499503
BaseRepresentation
bin10101100011101110…
…011010010101000000
32012202012221120011112
4111203232122111000
5334401333303303
614344540502452
71446425206622
oct254356322500
965665846145
1023147947328
1198a945a490
1245a024aa28
13224b91c96c
141198400c12
159072d60d8
hex563b9a540

23147947328 has 112 divisors (see below), whose sum is σ = 50694336000. Its totient is φ = 10399833600.

The previous prime is 23147947309. The next prime is 23147947373. The reversal of 23147947328 is 82374974132.

It is a happy number.

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, 46019525 + ... + 46020027.

It is an arithmetic number, because the mean of its divisors is an integer number (452628000).

Almost surely, 223147947328 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 23147947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347168000).

23147947328 is an abundant number, since it is smaller than the sum of its proper divisors (27546388672).

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

23147947328 is a wasteful number, since it uses less digits than its factorization.

23147947328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 23147947328 in words is "twenty-three billion, one hundred forty-seven million, nine hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 499 503 524 704 998 1006 1048 1441 1996 2012 2096 2882 3992 4024 4192 5489 5533 5764 7984 8048 8384 10978 11066 11528 15968 16096 21956 22132 23056 31936 32192 43912 44264 46112 65369 65893 87824 88528 92224 130738 131786 175648 177056 250997 261476 263572 351296 354112 501994 522952 527144 719059 724823 1003988 1045904 1054288 1438118 1449646 2007976 2091808 2108576 2760967 2876236 2899292 4015952 4183616 4217152 5521934 5752472 5798584 8031904 11043868 11504944 11597168 16063808 22087736 23009888 23194336 32880607 44175472 46019776 46388672 65761214 88350944 131522428 176701888 263044856 361686677 526089712 723373354 1052179424 1446746708 2104358848 2893493416 5786986832 11573973664 23147947328