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2664000485424 = 2432471999196907
BaseRepresentation
bin100110110001000010110…
…011010111100000110000
3100102200020202220102112100
4212301002303113200300
5322121333111013144
65355454103500400
7363316262335425
oct46610263274060
910380222812470
102664000485424
11937883907343
12370374457700
131642a26b03a5
1492d1ca25d4c
154946b8bc269
hex26c42cd7830

2664000485424 has 120 divisors (see below), whose sum is σ = 7617976704000. Its totient is φ = 868667359104.

The previous prime is 2664000485413. The next prime is 2664000485429. The reversal of 2664000485424 is 4245840004662.

2664000485424 is a `hidden beast` number, since 2 + 6 + 64 + 0 + 0 + 0 + 48 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2664000485424.

It is not an unprimeable number, because it can be changed into a prime (2664000485429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13430779 + ... + 13627685.

It is an arithmetic number, because the mean of its divisors is an integer number (63483139200).

Almost surely, 22664000485424 is an apocalyptic number.

2664000485424 is a gapful number since it is divisible by the number (24) 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 2664000485424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808988352000).

2664000485424 is an abundant number, since it is smaller than the sum of its proper divisors (4953976218576).

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

2664000485424 is a wasteful number, since it uses less digits than its factorization.

2664000485424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198967 (or 198958 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2664000485424 in words is "two trillion, six hundred sixty-four billion, four hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 1999 2256 3384 3998 5997 6768 7996 11994 15992 17991 23988 31984 35982 47976 71964 93953 95952 143928 187906 196907 281859 287856 375812 393814 563718 590721 751624 787628 845577 1127436 1181442 1503248 1575256 1691154 1772163 2254872 2362884 3150512 3382308 3544326 4509744 4725768 6764616 7088652 9254629 9451536 13529232 14177304 18509258 27763887 28354608 37018516 55527774 74037032 83291661 111055548 148074064 166583322 222111096 333166644 393617093 444222192 666333288 787234186 1180851279 1332666576 1574468372 2361702558 3148936744 3542553837 4723405116 6297873488 7085107674 9446810232 14170215348 18500003371 18893620464 28340430696 37000006742 55500010113 56680861392 74000013484 111000020226 148000026968 166500030339 222000040452 296000053936 333000060678 444000080904 666000121356 888000161808 1332000242712 2664000485424