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70053141600 = 25345213137607
BaseRepresentation
bin100000100111101111…
…1100001110001100000
320200211010100022110000
41001033133201301200
52121432101012400
652103145540000
75026660610301
oct1011737416140
9220733308400
1070053141600
1127789199152
12116b07a4600
1367b54629a0
143567aca7a8
151c5010b600
hex104f7e1c60

70053141600 has 720 divisors, whose sum is σ = 277586483328. Its totient is φ = 17089781760.

The previous prime is 70053141553. The next prime is 70053141611. The reversal of 70053141600 is 614135007.

70053141600 is a `hidden beast` number, since 7 + 0 + 0 + 53 + 1 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115408497 + ... + 115409103.

Almost surely, 270053141600 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 70053141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138793241664).

70053141600 is an abundant number, since it is smaller than the sum of its proper divisors (207533341728).

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

70053141600 is a wasteful number, since it uses less digits than its factorization.

70053141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 70053141600 its reverse (614135007), we get a palindrome (70667276607).

The spelling of 70053141600 in words is "seventy billion, fifty-three million, one hundred forty-one thousand, six hundred".