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70036976025 = 345258812
BaseRepresentation
bin100000100111010000…
…1110111000110011001
320200202222221000110000
41001032201313012121
52121413431213100
652101411243213
75026403321322
oct1011641670631
9220688830400
1070036976025
1127780057775
12116a72a9509
1367b1cc2963
1435658bd449
151c4d9b6900
hex104e877199

70036976025 has 45 divisors (see below), whose sum is σ = 129754753293. Its totient is φ = 37346702400.

The previous prime is 70036975979. The next prime is 70036976029. The reversal of 70036976025 is 52067963007.

The square root of 70036976025 is 264645.

It is a perfect power (a square), and thus also a powerful number.

70036976025 is a `hidden beast` number, since 7 + 0 + 0 + 36 + 9 + 7 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3429624969 + 66607351056 = 58563^2 + 258084^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 70036976025 - 215 = 70036943257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (70036976029) 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 44 ways as a sum of consecutive naturals, for example, 11906085 + ... + 11911965.

Almost surely, 270036976025 is an apocalyptic number.

70036976025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70036976025 is the 264645-th square number.

70036976025 is the 132323-rd centered octagonal number.

It is an amenable number.

70036976025 is a deficient number, since it is larger than the sum of its proper divisors (59717777268).

70036976025 is an frugal number, since it uses more digits than its factorization.

70036976025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 70036976025 in words is "seventy billion, thirty-six million, nine hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5881 17643 29405 52929 88215 147025 158787 264645 441075 476361 793935 1323225 2381805 3969675 11909025 34586161 103758483 172930805 311275449 518792415 864654025 933826347 1556377245 2593962075 2801479041 4669131735 7781886225 14007395205 23345658675 70036976025