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23423332032 = 263385715817
BaseRepresentation
bin10101110100001000…
…111010111011000000
32020110102010112222000
4111310020322323000
5340432333111112
614432135144000
71456311015522
oct256410727300
966412115860
1023423332032
119a2a951051
124658515000
1322939ac6a9
1411c2c07a12
159215817dc
hex57423aec0

23423332032 has 112 divisors (see below), whose sum is σ = 68944967520. Its totient is φ = 7798173696.

The previous prime is 23423332027. The next prime is 23423332039. The reversal of 23423332032 is 23023332432.

23423332032 is a `hidden beast` number, since 2 + 3 + 423 + 33 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23423331987 and 23423332005.

It is not an unprimeable number, because it can be changed into a prime (23423332039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472988 + ... + 1488804.

Almost surely, 223423332032 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 23423332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472483760).

23423332032 is an abundant number, since it is smaller than the sum of its proper divisors (45521635488).

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

23423332032 is a wasteful number, since it uses less digits than its factorization.

23423332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 23423332032 its reverse (23023332432), we get a palindrome (46446664464).

The spelling of 23423332032 in words is "twenty-three billion, four hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 857 864 1714 1728 2571 3428 5142 6856 7713 10284 13712 15426 15817 20568 23139 27424 30852 31634 41136 46278 47451 54848 61704 63268 82272 92556 94902 123408 126536 142353 164544 185112 189804 246816 253072 284706 370224 379608 427059 493632 506144 569412 740448 759216 854118 1012288 1138824 1480896 1518432 1708236 2277648 3036864 3416472 4555296 6832944 9110592 13555169 13665888 27110338 27331776 40665507 54220676 81331014 108441352 121996521 162662028 216882704 243993042 325324056 365989563 433765408 487986084 650648112 731979126 867530816 975972168 1301296224 1463958252 1951944336 2602592448 2927916504 3903888672 5855833008 7807777344 11711666016 23423332032