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70871894636256 = 25377433364409
BaseRepresentation
bin10000000111010100100110…
…000110101011011011100000
3100021221021202012012110000000
4100013110212012223123200
533242131120011330011
6410422033211300000
720633216421534420
oct2007244606533340
9307837665173000
1070871894636256
112064466899417a
127b4754614a600
1330712637a405c
14137030a2b2480
1582d8198e7356
hex4075261ab6e0

70871894636256 has 384 divisors, whose sum is σ = 244718032204800. Its totient is φ = 19778197275648.

The previous prime is 70871894636209. The next prime is 70871894636303. The reversal of 70871894636256 is 65263649817807.

70871894636256 is a `hidden beast` number, since 7 + 0 + 87 + 1 + 89 + 463 + 6 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (70871894636209) and next prime (70871894636303).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 19382980 + ... + 22747388.

It is an arithmetic number, because the mean of its divisors is an integer number (637286542200).

It is a 1-persistent number, because it is pandigital, but 2⋅70871894636256 = 141743789272512 is not.

Almost surely, 270871894636256 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 70871894636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122359016102400).

70871894636256 is an abundant number, since it is smaller than the sum of its proper divisors (173846137568544).

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

70871894636256 is an equidigital number, since it uses as much as digits as its factorization.

70871894636256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364490 (or 3364464 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 70871894636256 in words is "seventy trillion, eight hundred seventy-one billion, eight hundred ninety-four million, six hundred thirty-six thousand, two hundred fifty-six".