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10191912025 = 526123312
BaseRepresentation
bin10010111110111110…
…00011110001011001
3222022021212202221011
421133133003301121
5131333112141100
64403200013521
7510364552141
oct113737036131
928267782834
1010191912025
114360083399
121b853012a1
13c656a2299
146c983b921
153e9b6abba
hex25f7c3c59

10191912025 has 27 divisors (see below), whose sum is σ = 12887481789. Its totient is φ = 7995636000.

The previous prime is 10191912023. The next prime is 10191912041. The reversal of 10191912025 is 52021919101.

The square root of 10191912025 is 100955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4694579289 + 5497332736 = 68517^2 + 74144^2 .

It is not a de Polignac number, because 10191912025 - 21 = 10191912023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10191912023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30791110 + ... + 30791440.

Almost surely, 210191912025 is an apocalyptic number.

10191912025 is the 100955-th square number.

10191912025 is the 50478-th centered octagonal number.

It is an amenable number.

10191912025 is a deficient number, since it is larger than the sum of its proper divisors (2695569764).

10191912025 is an frugal number, since it uses more digits than its factorization.

10191912025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 10191912025 in words is "ten billion, one hundred ninety-one million, nine hundred twelve thousand, twenty-five".

Divisors: 1 5 25 61 305 331 1525 1655 3721 8275 18605 20191 93025 100955 109561 504775 547805 1231651 2739025 6158255 6683221 30791275 33416105 167080525 407676481 2038382405 10191912025