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23006416576512 = 21334421211747
BaseRepresentation
bin1010011101100100110010…
…10010011010000000000000
310000110101120201122122022210
411032302121102122000000
511003414120120422022
6120533000223102120
74563105310206105
oct516623122320000
9100411521578283
1023006416576512
11736aa6a421706
1226b696a441940
13cab65a2a6075
14597733400aac
1529d6b2a9ca0c
hex14ec9949a000

23006416576512 has 112 divisors (see below), whose sum is σ = 61360865656992. Its totient is φ = 7667034685440.

The previous prime is 23006416576487. The next prime is 23006416576579. The reversal of 23006416576512 is 21567561460032.

It is a super-2 number, since 2×230064165765122 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108544623 + ... + 108756369.

Almost surely, 223006416576512 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 23006416576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30680432828496).

23006416576512 is an abundant number, since it is smaller than the sum of its proper divisors (38354449080480).

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

23006416576512 is an equidigital number, since it uses as much as digits as its factorization.

23006416576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216197 (or 216173 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 23006416576512 in words is "twenty-three trillion, six billion, four hundred sixteen million, five hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4421 6144 8192 8842 12288 13263 17684 24576 26526 35368 53052 70736 106104 141472 211747 212208 282944 423494 424416 565888 635241 846988 848832 1131776 1270482 1693976 1697664 2263552 2540964 3387952 3395328 4527104 5081928 6775904 6790656 9054208 10163856 13551808 13581312 18108416 20327712 27103616 27162624 36216832 40655424 54207232 54325248 81310848 108414464 108650496 162621696 216828928 325243392 433657856 650486784 867315712 936133487 1300973568 1734631424 1872266974 2601947136 2808400461 3744533948 5203894272 5616800922 7489067896 11233601844 14978135792 22467203688 29956271584 44934407376 59912543168 89868814752 119825086336 179737629504 239650172672 359475259008 479300345344 718950518016 958600690688 1437901036032 1917201381376 2875802072064 3834402762752 5751604144128 7668805525504 11503208288256 23006416576512