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3096146064 = 2431121928057
BaseRepresentation
bin1011100010001011…
…0111000010010000
321222202221111221110
42320202313002100
522320103133224
61231121053320
7136503543624
oct27042670220
97882844843
103096146064
11134976a400
12724a87240
133a45a8abb
142152b3184
15131c36929
hexb88b7090

3096146064 has 120 divisors (see below), whose sum is σ = 9254650720. Its totient is φ = 888814080.

The previous prime is 3096146059. The next prime is 3096146089. The reversal of 3096146064 is 4606416903.

It is a super-2 number, since 2×30961460642 = 19172240899245384192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96324 + ... + 124380.

Almost surely, 23096146064 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 3096146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627325360).

3096146064 is an abundant number, since it is smaller than the sum of its proper divisors (6158504656).

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

3096146064 is a wasteful number, since it uses less digits than its factorization.

3096146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28109 (or 28092 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3096146064 is about 55643.0234980092. The cubic root of 3096146064 is about 1457.4952462168.

The spelling of 3096146064 in words is "three billion, ninety-six million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 28057 36784 55176 56114 84171 110352 112228 168342 224456 308627 336684 448912 533083 617254 673368 925881 1066166 1234508 1346736 1599249 1851762 2132332 2469016 3198498 3394897 3703524 4264664 4938032 5863913 6396996 6789794 7407048 8529328 10184691 11727826 12793992 13579588 14814096 17591739 20369382 23455652 25587984 27159176 35183478 40738764 46911304 54318352 64503043 70366956 81477528 93822608 129006086 140733912 162955056 193509129 258012172 281467824 387018258 516024344 774036516 1032048688 1548073032 3096146064