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23479716832 = 25111329176933
BaseRepresentation
bin10101110111100000…
…000000101111100000
32020121100020012100221
4111313200000233200
5341041301414312
614441511452424
71460564204635
oct256740005740
966540205327
1023479716832
119a59762860
124673387114
1322a2591c90
1411ca4c418c
159264bd207
hex577800be0

23479716832 has 96 divisors (see below), whose sum is σ = 56180083680. Its totient is φ = 9511864320.

The previous prime is 23479716797. The next prime is 23479716863. The reversal of 23479716832 is 23861797432.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 23479716832.

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, 44238 + ... + 221170.

It is an arithmetic number, because the mean of its divisors is an integer number (585209205).

Almost surely, 223479716832 is an apocalyptic number.

23479716832 is a gapful number since it is divisible by the number (22) 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 23479716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090041840).

23479716832 is an abundant number, since it is smaller than the sum of its proper divisors (32700366848).

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

23479716832 is a wasteful number, since it uses less digits than its factorization.

23479716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176996 (or 176988 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

It can be divided in two parts, 2347 and 9716832, that added together give a palindrome (9719179).

The spelling of 23479716832 in words is "twenty-three billion, four hundred seventy-nine million, seven hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 754 928 1144 1276 1508 2288 2552 3016 4147 4576 5104 6032 8294 10208 12064 16588 33176 66352 132704 176933 353866 707732 1415464 1946263 2300129 2830928 3892526 4600258 5131057 5661856 7785052 9200516 10262114 15570104 18401032 20524228 25301419 31140208 36802064 41048456 50602838 56441627 62280416 66703741 73604128 82096912 101205676 112883254 133407482 164193824 202411352 225766508 266814964 404822704 451533016 533629928 733741151 809645408 903066032 1067259856 1467482302 1806132064 2134519712 2934964604 5869929208 11739858416 23479716832