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70942717440 = 293257347191
BaseRepresentation
bin100001000010010000…
…0111111011000000000
320210010010020110002100
41002010200333120000
52130242313424230
652331324350400
75061012102000
oct1020440773000
9223103213070
1070942717440
11280a53506a1
12118ba6a5400
1368c784971a
14360dcd2000
151ca3279660
hex108483f600

70942717440 has 960 divisors, whose sum is σ = 294152601600. Its totient is φ = 15787376640.

The previous prime is 70942717409. The next prime is 70942717451. The reversal of 70942717440 is 4471724907.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371427745 + ... + 371427935.

It is an arithmetic number, because the mean of its divisors is an integer number (306408960).

Almost surely, 270942717440 is an apocalyptic number.

70942717440 is a gapful number since it is divisible by the number (70) 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 70942717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147076300800).

70942717440 is an abundant number, since it is smaller than the sum of its proper divisors (223209884160).

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

70942717440 is a wasteful number, since it uses less digits than its factorization.

70942717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 70942717440 in words is "seventy billion, nine hundred forty-two million, seven hundred seventeen thousand, four hundred forty".