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70145064100 = 22526176531741
BaseRepresentation
bin100000101010011111…
…0001011110010100100
320201001112022110102001
41001110332023302210
52122124114022400
652120232055044
75032155131026
oct1012476136244
9221045273361
1070145064100
1127826072961
1211717534484
1367cb5089b7
143575db8016
151c58217a6a
hex1054f8bca4

70145064100 has 72 divisors (see below), whose sum is σ = 152782674408. Its totient is φ = 27953587200.

The previous prime is 70145064083. The next prime is 70145064107. The reversal of 70145064100 is 146054107.

It can be written as a sum of positive squares in 12 ways, for example, as 67032316836 + 3112747264 = 258906^2 + 55792^2 .

It is not an unprimeable number, because it can be changed into a prime (70145064107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40289230 + ... + 40290970.

It is an arithmetic number, because the mean of its divisors is an integer number (2121981589).

Almost surely, 270145064100 is an apocalyptic number.

It is an amenable number.

70145064100 is an abundant number, since it is smaller than the sum of its proper divisors (82637610308).

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

70145064100 is a wasteful number, since it uses less digits than its factorization.

70145064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 70145064100 in words is "seventy billion, one hundred forty-five million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 617 653 1234 1306 1741 2468 2612 3085 3265 3482 6170 6530 6964 8705 12340 13060 15425 16325 17410 30850 32650 34820 43525 61700 65300 87050 174100 402901 805802 1074197 1136873 1611604 2014505 2148394 2273746 4029010 4296788 4547492 5370985 5684365 8058020 10072525 10741970 11368730 20145050 21483940 22737460 26854925 28421825 40290100 53709850 56843650 107419700 113687300 701450641 1402901282 2805802564 3507253205 7014506410 14029012820 17536266025 35072532050 70145064100