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1373291015625 = 32516
BaseRepresentation
bin10011111110111110100…
…001011110110111001001
311212021201000022210211100
4103332332201132313021
5140000000000000000
62530514200252013
7201134301013644
oct23767641366711
94767630283740
101373291015625
1148a455a81a91
121a21a0471009
139c6682c98c9
144a6792bca5b
1525ac8411a00
hex13fbe85edc9

1373291015625 has 51 divisors (see below), whose sum is σ = 2479553222653. Its totient is φ = 732421875000.

The previous prime is 1373291015573. The next prime is 1373291015647. The reversal of 1373291015625 is 5265101923731.

The square root of 1373291015625 is 1171875.

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

1373291015625 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 2 + 9 + 1 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 244529261001 + 1128761754624 = 494499^2 + 1062432^2 .

It is not a de Polignac number, because 1373291015625 - 233 = 1364701081033 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 50 ways as a sum of consecutive naturals, for example, 274658203123 + ... + 274658203127.

Almost surely, 21373291015625 is an apocalyptic number.

1373291015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1373291015625 is the 1171875-th square number.

1373291015625 is the 585938-th centered octagonal number.

It is an amenable number.

1373291015625 is a deficient number, since it is larger than the sum of its proper divisors (1106262207028).

1373291015625 is an frugal number, since it uses more digits than its factorization.

1373291015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

1373291015625 divided by its sum of digits (45) gives a 15-th power (30517578125 = 515).

The spelling of 1373291015625 in words is "one trillion, three hundred seventy-three billion, two hundred ninety-one million, fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 9375 15625 28125 46875 78125 140625 234375 390625 703125 1171875 1953125 3515625 5859375 9765625 17578125 29296875 48828125 87890625 146484375 244140625 439453125 732421875 1220703125 2197265625 3662109375 6103515625 10986328125 18310546875 30517578125 54931640625 91552734375 152587890625 274658203125 457763671875 1373291015625