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70746247296 = 2732593103561
BaseRepresentation
bin100000111100011001…
…1100001000010000000
320202121102112201201100
41001320303201002000
52124342014403141
652300025334400
75053105115514
oct1017063410200
9222542481640
1070746247296
112800445977a
1211864937400
136895c29cba
1435d1b8c144
151c90dbb0b6
hex1078ce1080

70746247296 has 96 divisors (see below), whose sum is σ = 203924969820. Its totient is φ = 23542087680.

The previous prime is 70746247289. The next prime is 70746247399. The reversal of 70746247296 is 69274264707.

70746247296 is a `hidden beast` number, since 7 + 0 + 7 + 4 + 624 + 7 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67945720896 + 2800526400 = 260664^2 + 52920^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631356 + ... + 734916.

Almost surely, 270746247296 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 70746247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101962484910).

70746247296 is an abundant number, since it is smaller than the sum of its proper divisors (133178722524).

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

70746247296 is a wasteful number, since it uses less digits than its factorization.

70746247296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104174 (or 104159 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 70746247296 in words is "seventy billion, seven hundred forty-six million, two hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 593 1152 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 18976 21348 28464 37952 42696 56928 75904 85392 103561 113856 170784 207122 227712 310683 341568 414244 621366 683136 828488 932049 1242732 1656976 1864098 2485464 3313952 3728196 4970928 6627904 7456392 9941856 13255808 14912784 19883712 29825568 39767424 59651136 61411673 119302272 122823346 184235019 245646692 368470038 491293384 552705057 736940076 982586768 1105410114 1473880152 1965173536 2210820228 2947760304 3930347072 4421640456 5895520608 7860694144 8843280912 11791041216 17686561824 23582082432 35373123648 70746247296