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70241991450624 = 213337235337217
BaseRepresentation
bin11111111100010011111001…
…11100101110000000000000
3100012201001212011020011111000
433332021330330232000000
533201321044302404444
6405220420404052000
720536550013024240
oct1776117474560000
9305631764204430
1070241991450624
1120421508a72724
127a65450994000
133026a3984b286
14134ba327c5b20
1581c24e6c6469
hex3fe27cf2e000

70241991450624 has 896 divisors, whose sum is σ = 252872407111680. Its totient is φ = 18833863606272.

The previous prime is 70241991450619. The next prime is 70241991450703. The reversal of 70241991450624 is 42605419914207.

70241991450624 is a `hidden beast` number, since 7 + 0 + 2 + 4 + 1 + 9 + 9 + 1 + 4 + 5 + 0 + 624 = 666.

70241991450624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887344464 + ... + 1887381680.

Almost surely, 270241991450624 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 70241991450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436203555840).

70241991450624 is an abundant number, since it is smaller than the sum of its proper divisors (182630415661056).

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

70241991450624 is a wasteful number, since it uses less digits than its factorization.

70241991450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37335 (or 37305 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 70241991450624 in words is "seventy trillion, two hundred forty-one billion, nine hundred ninety-one million, four hundred fifty thousand, six hundred twenty-four".