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23005995408 = 24331147103007
BaseRepresentation
bin10101011011010000…
…111010000110010000
32012101022211122202000
4111123100322012100
5334104013323113
614322510154000
71443052506624
oct253320720620
965338748660
1023005995408
119836314950
1245607b2900
1322283ab046
14118360d184
158e9ae6373
hex55b43a190

23005995408 has 160 divisors (see below), whose sum is σ = 73572433920. Its totient is φ = 6823117440.

The previous prime is 23005995403. The next prime is 23005995413. The reversal of 23005995408 is 80459950032.

23005995408 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 599 + 54 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23005995403) and next prime (23005995413).

It is not an unprimeable number, because it can be changed into a prime (23005995401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171841 + ... + 274847.

It is an arithmetic number, because the mean of its divisors is an integer number (459827712).

Almost surely, 223005995408 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 23005995408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36786216960).

23005995408 is an abundant number, since it is smaller than the sum of its proper divisors (50566438512).

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

23005995408 is a wasteful number, since it uses less digits than its factorization.

23005995408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103082 (or 103070 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 23005995408 in words is "twenty-three billion, five million, nine hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 47 48 54 66 72 88 94 99 108 132 141 144 176 188 198 216 264 282 297 376 396 423 432 517 528 564 594 752 792 846 1034 1128 1188 1269 1551 1584 1692 2068 2256 2376 2538 3102 3384 4136 4653 4752 5076 6204 6768 8272 9306 10152 12408 13959 18612 20304 24816 27918 37224 55836 74448 103007 111672 206014 223344 309021 412028 618042 824056 927063 1133077 1236084 1648112 1854126 2266154 2472168 2781189 3399231 3708252 4532308 4841329 4944336 5562378 6798462 7416504 9064616 9682658 10197693 11124756 13596924 14523987 14833008 18129232 19365316 20395386 22249512 27193848 29047974 30593079 38730632 40790772 43571961 44499024 53254619 54387696 58095948 61186158 77461264 81581544 87143922 106509238 116191896 122372316 130715883 159763857 163163088 174287844 213018476 232383792 244744632 261431766 319527714 348575688 426036952 479291571 489489264 522863532 639055428 697151376 852073904 958583142 1045727064 1278110856 1437874713 1917166284 2091454128 2556221712 2875749426 3834332568 5751498852 7668665136 11502997704 23005995408