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70948705824 = 2532277889349
BaseRepresentation
bin100001000010011011…
…1110101011000100000
320210010112111200121100
41002010313311120200
52130300332041244
652332100554400
75061114022563
oct1020467653040
9223115450540
1070948705824
11280a8770877
12119006b2a00
1368c8b65349
143610a104da
151ca3a5db69
hex1084df5620

70948705824 has 72 divisors (see below), whose sum is σ = 202488986700. Its totient is φ = 23564164608.

The previous prime is 70948705823. The next prime is 70948705853. The reversal of 70948705824 is 42850784907.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68052113424 + 2896592400 = 260868^2 + 53820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (70948705823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364899 + ... + 524450.

Almost surely, 270948705824 is an apocalyptic number.

It is an amenable number.

70948705824 is an abundant number, since it is smaller than the sum of its proper divisors (131540280876).

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

70948705824 is a wasteful number, since it uses less digits than its factorization.

70948705824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889642 (or 889631 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 70948705824 in words is "seventy billion, nine hundred forty-eight million, seven hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 19944 26592 39888 79776 889349 1778698 2668047 3557396 5336094 7114792 8004141 10672188 14229584 16008282 21344376 28459168 32016564 42688752 64033128 85377504 128066256 246349673 256132512 492699346 739049019 985398692 1478098038 1970797384 2217147057 2956196076 3941594768 4434294114 5912392152 7883189536 8868588228 11824784304 17737176456 23649568608 35474352912 70948705824