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69970297280625 = 3454724721132
BaseRepresentation
bin11111110100011001110101…
…01101101101100001110001
3100011202002120022201021210000
433322030322231231201301
533132343132100440000
6404451524423100213
720511121123466400
oct1772147255554161
9304662508637700
1069970297280625
1120327266769465
127a20866ba1669
13300722b0c9a01
14133c81aac3637
1581514c040000
hex3fa33ab6d871

69970297280625 has 675 divisors, whose sum is σ = 156624546216567. Its totient is φ = 31028816448000.

The previous prime is 69970297280599. The next prime is 69970297280633. The reversal of 69970297280625 is 52608279207996.

The square root of 69970297280625 is 8364825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 68394107425329 + 1576189855296 = 8270073^2 + 1255464^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 69970297280625 - 215 = 69970297247857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 619206170569 + ... + 619206170681.

Almost surely, 269970297280625 is an apocalyptic number.

69970297280625 is the 8364825-th square number.

69970297280625 is the 4182413-rd centered octagonal number.

It is an amenable number.

69970297280625 is an abundant number, since it is smaller than the sum of its proper divisors (86654248935942).

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

69970297280625 is an frugal number, since it uses more digits than its factorization.

69970297280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 69970297280625 in words is "sixty-nine trillion, nine hundred seventy billion, two hundred ninety-seven million, two hundred eighty thousand, six hundred twenty-five".