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70417256448 = 2123711193917
BaseRepresentation
bin100000110010100110…
…0100001000000000000
320201202111111021010010
41001211030201000000
52123203304201243
652203234104520
75042001542520
oct1014514410000
9221674437103
1070417256448
1127955784010
121179271b140
136842a1b666
1435a01cd680
151c72082433
hex1065321000

70417256448 has 416 divisors, whose sum is σ = 246469155840. Its totient is φ = 17323130880.

The previous prime is 70417256447. The next prime is 70417256461. The reversal of 70417256448 is 84465271407.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 70417256397 and 70417256406.

It is not an unprimeable number, because it can be changed into a prime (70417256447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17975386 + ... + 17979302.

Almost surely, 270417256448 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 70417256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123234577920).

70417256448 is an abundant number, since it is smaller than the sum of its proper divisors (176051899392).

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

70417256448 is a wasteful number, since it uses less digits than its factorization.

70417256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 70417256448 in words is "seventy billion, four hundred seventeen million, two hundred fifty-six thousand, four hundred forty-eight".