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42461045952 = 2631317011637
BaseRepresentation
bin100111100010111000…
…000010010011000000
311001121011221121212120
4213202320002103000
51143430011432302
631301211324240
73032136635613
oct474270022300
9131534847776
1042461045952
111700a176316
128290150680
134008bc3280
1420ab39c17a
151187aba9bc
hex9e2e024c0

42461045952 has 56 divisors (see below), whose sum is σ = 120986769456. Its totient is φ = 13064936448.

The previous prime is 42461045951. The next prime is 42461046007. The reversal of 42461045952 is 25954016424.

It is not an unprimeable number, because it can be changed into a prime (42461045951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8503323 + ... + 8508314.

It is an arithmetic number, because the mean of its divisors is an integer number (2160478026).

Almost surely, 242461045952 is an apocalyptic number.

It is an amenable number.

42461045952 is an abundant number, since it is smaller than the sum of its proper divisors (78525723504).

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

42461045952 is a wasteful number, since it uses less digits than its factorization.

42461045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011665 (or 17011655 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 42461045952 in words is "forty-two billion, four hundred sixty-one million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 17011637 34023274 51034911 68046548 102069822 136093096 204139644 221151281 272186192 408279288 442302562 544372384 663453843 816558576 884605124 1088744768 1326907686 1633117152 1769210248 2653815372 3266234304 3538420496 5307630744 7076840992 10615261488 14153681984 21230522976 42461045952