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70864351422480 = 243657211331601
BaseRepresentation
bin10000000111001101100100…
…011111100110100000010000
3100021220120021111022111000000
4100013031210133212200100
533242020142431004410
6410414344510130000
720632531455346500
oct2007154437464020
9307816244274000
1070864351422480
1120641447a48000
127b45b9bab0900
133070630a95755
14136dbd2551a00
1582d52757adc0
hex4073647e6810

70864351422480 has 3360 divisors, whose sum is σ = 326810128813056. Its totient is φ = 14226347520000.

The previous prime is 70864351422461. The next prime is 70864351422481. The reversal of 70864351422480 is 8422415346807.

70864351422480 is a `hidden beast` number, since 7 + 0 + 8 + 6 + 4 + 351 + 42 + 248 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (70864351422481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 117910734180 + ... + 117910734780.

Almost surely, 270864351422480 is an apocalyptic number.

70864351422480 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 70864351422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163405064406528).

70864351422480 is an abundant number, since it is smaller than the sum of its proper divisors (255945777390576).

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

70864351422480 is a wasteful number, since it uses less digits than its factorization.

70864351422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 70864351422480 in words is "seventy trillion, eight hundred sixty-four billion, three hundred fifty-one million, four hundred twenty-two thousand, four hundred eighty".