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5148156792025 = 521326725212
BaseRepresentation
bin100101011101010011000…
…0011101000110011011001
3200020011021220020222021201
41022322212003220303121
51133321411114321100
614541010334434201
71040641060500202
oct112724603506331
920204256228251
105148156792025
11170535932a235
126b18b7362961
132b4613805900
1413b25a4145a9
158ddae5b036a
hex4aea60e8cd9

5148156792025 has 81 divisors (see below), whose sum is σ = 7030749673143. Its totient is φ = 3737785708800.

The previous prime is 5148156791933. The next prime is 5148156792043. The reversal of 5148156792025 is 5202976518415.

It is a happy number.

The square root of 5148156792025 is 2268955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5142685527001 + 5471265024 = 2267749^2 + 73968^2 .

It is not a de Polignac number, because 5148156792025 - 215 = 5148156759257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9881298765 + ... + 9881299285.

Almost surely, 25148156792025 is an apocalyptic number.

5148156792025 is the 2268955-th square number.

5148156792025 is the 1134478-th centered octagonal number.

It is an amenable number.

5148156792025 is a deficient number, since it is larger than the sum of its proper divisors (1882592881118).

5148156792025 is an frugal number, since it uses more digits than its factorization.

5148156792025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 5148156792025 in words is "five trillion, one hundred forty-eight billion, one hundred fifty-six million, seven hundred ninety-two thousand, twenty-five".

Divisors: 1 5 13 25 65 67 169 325 335 521 845 871 1675 2605 4225 4355 4489 6773 11323 13025 21775 22445 33865 34907 56615 58357 88049 112225 169325 174535 271441 283075 291785 440245 453791 758641 872675 1357205 1458925 2201225 2268955 2338769 3528733 3793205 5899283 6786025 11344775 11693845 17643665 18186547 18966025 29496415 30403997 45873529 58469225 88218325 90932735 147482075 152019985 229367645 236425111 395251961 454663675 760099925 1146838225 1182125555 1218498649 1976259805 3073526443 5910627775 6092493245 9881299025 15367632215 15840482437 30462466225 76838161075 79202412185 205926271681 396012060925 1029631358405 5148156792025