Search a number
-
+
23609830656 = 283176732687
BaseRepresentation
bin10101111111010000…
…010110110100000000
32020221102001122222110
4111333100112310000
5341323104040111
614502440335320
71464034151346
oct257720266400
966842048873
1023609830656
11a016152245
1246aaa74540
1322c351a4c9
1411dd8b3996
15932b205a6
hex57f416d00

23609830656 has 144 divisors (see below), whose sum is σ = 66656507904. Its totient is φ = 7393247232.

The previous prime is 23609830633. The next prime is 23609830663. The reversal of 23609830656 is 65603890632.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8785345 + ... + 8788031.

It is an arithmetic number, because the mean of its divisors is an integer number (462892416).

Almost surely, 223609830656 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 23609830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33328253952).

23609830656 is an abundant number, since it is smaller than the sum of its proper divisors (43046677248).

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

23609830656 is a wasteful number, since it uses less digits than its factorization.

23609830656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 23609830656 in words is "twenty-three billion, six hundred nine million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 673 768 816 1088 1346 1632 2019 2176 2687 2692 3264 4038 4352 5374 5384 6528 8061 8076 10748 10768 11441 13056 16122 16152 21496 21536 22882 32244 32304 34323 42992 43072 45679 45764 64488 64608 68646 85984 86144 91358 91528 128976 129216 137037 137292 171968 172288 182716 183056 257952 258432 274074 274584 343936 365432 366112 515904 516864 548148 549168 687872 730864 732224 1031808 1096296 1098336 1461728 1464448 1808351 2063616 2192592 2196672 2923456 2928896 3616702 4385184 4393344 5425053 5846912 7233404 8770368 8786688 10850106 11693824 14466808 17540736 21700212 28933616 30741967 35081472 43400424 57867232 61483934 86800848 92225901 115734464 122967868 173601696 184451802 231468928 245935736 347203392 368903604 462937856 491871472 694406784 737807208 983742944 1388813568 1475614416 1967485888 2951228832 3934971776 5902457664 7869943552 11804915328 23609830656