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70944220440 = 23335314151683
BaseRepresentation
bin100001000010010011…
…0101110010100011000
320210010020001210211000
41002010212232110120
52130243210023230
652331420505000
75061030631632
oct1020446562430
9223106053730
1070944220440
11280a6187945
12118bb0ab160
1368c7c54882
1436101a3a52
151ca3474b60
hex10849ae518

70944220440 has 256 divisors, whose sum is σ = 250067865600. Its totient is φ = 17861299200.

The previous prime is 70944220423. The next prime is 70944220469. The reversal of 70944220440 is 4402244907.

70944220440 is a `hidden beast` number, since 7 + 0 + 9 + 442 + 204 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70944220395 and 70944220404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346839 + ... + 1398521.

It is an arithmetic number, because the mean of its divisors is an integer number (976827600).

Almost surely, 270944220440 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 70944220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125033932800).

70944220440 is an abundant number, since it is smaller than the sum of its proper divisors (179123645160).

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

70944220440 is a wasteful number, since it uses less digits than its factorization.

70944220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51775 (or 51765 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 70944220440 in words is "seventy billion, nine hundred forty-four million, two hundred twenty thousand, four hundred forty".