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23384578880 = 2651326920897
BaseRepresentation
bin10101110001110101…
…000101101101000000
32020100201012200122002
4111301311011231000
5340342423011010
614424232403132
71455330432545
oct256165055500
966321180562
1023384578880
119a0aa92253
1246475464a8
132288961530
1411bb9dabcc
1591ce791a5
hex571d45b40

23384578880 has 112 divisors (see below), whose sum is σ = 60193763280. Its totient is φ = 8601796608.

The previous prime is 23384578859. The next prime is 23384578891. The reversal of 23384578880 is 8887548332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5031916096 + 18352662784 = 70936^2 + 135472^2 .

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, 1108592 + ... + 1129488.

It is an arithmetic number, because the mean of its divisors is an integer number (537444315).

Almost surely, 223384578880 is an apocalyptic number.

23384578880 is a gapful number since it is divisible by the number (20) 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 23384578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30096881640).

23384578880 is an abundant number, since it is smaller than the sum of its proper divisors (36809184400).

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

23384578880 is a wasteful number, since it uses less digits than its factorization.

23384578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21196 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 23384578880 in words is "twenty-three billion, three hundred eighty-four million, five hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 269 320 416 520 538 832 1040 1076 1345 2080 2152 2690 3497 4160 4304 5380 6994 8608 10760 13988 17216 17485 20897 21520 27976 34970 41794 43040 55952 69940 83588 86080 104485 111904 139880 167176 208970 223808 271661 279760 334352 417940 543322 559520 668704 835880 1086644 1119040 1337408 1358305 1671760 2173288 2716610 3343520 4346576 5433220 5621293 6687040 8693152 10866440 11242586 17386304 21732880 22485172 28106465 43465760 44970344 56212930 73076809 86931520 89940688 112425860 146153618 179881376 224851720 292307236 359762752 365384045 449703440 584614472 730768090 899406880 1169228944 1461536180 1798813760 2338457888 2923072360 4676915776 5846144720 11692289440 23384578880