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70264750400 = 2652134182393
BaseRepresentation
bin100000101110000011…
…0110000000101000000
320201100212112011010222
41001130012300011000
52122400234003100
652140145242212
75035140344465
oct1013406600500
9221325464128
1070264750400
112788768aa59
121174b633368
13681a252bb0
143587c5166c
151c639aa485
hex105c1b0140

70264750400 has 168 divisors, whose sum is σ = 190738484664. Its totient is φ = 25310822400.

The previous prime is 70264750393. The next prime is 70264750447. The reversal of 70264750400 is 405746207.

It can be written as a sum of positive squares in 12 ways, for example, as 35262830656 + 35001919744 = 187784^2 + 187088^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811604 + ... + 893996.

It is an arithmetic number, because the mean of its divisors is an integer number (1135348123).

Almost surely, 270264750400 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 70264750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95369242332).

70264750400 is an abundant number, since it is smaller than the sum of its proper divisors (120473734264).

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

70264750400 is a wasteful number, since it uses less digits than its factorization.

70264750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82469 (or 82454 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 70264750400 in words is "seventy billion, two hundred sixty-four million, seven hundred fifty thousand, four hundred".