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70832497680 = 2436572931193
BaseRepresentation
bin100000111110111110…
…0100010010000010000
320202211102211201000000
41001331330202100100
52130031104411210
652312350130000
75055203203410
oct1017574422020
9222742751000
1070832497680
112804910998a
12118897b0900
1368aaa68329
1435dd400640
151c98756ac0
hex107df22410

70832497680 has 1120 divisors, whose sum is σ = 302897756160. Its totient is φ = 15049359360.

The previous prime is 70832497639. The next prime is 70832497717. The reversal of 70832497680 is 8679423807.

70832497680 is a `hidden beast` number, since 70 + 8 + 3 + 2 + 497 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 367007664 + ... + 367007856.

Almost surely, 270832497680 is an apocalyptic number.

70832497680 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 70832497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151448878080).

70832497680 is an abundant number, since it is smaller than the sum of its proper divisors (232065258480).

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

70832497680 is a wasteful number, since it uses less digits than its factorization.

70832497680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 70832497680 in words is "seventy billion, eight hundred thirty-two million, four hundred ninety-seven thousand, six hundred eighty".