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10169714025 = 31052832
BaseRepresentation
bin10010111100010100…
…11000010101101001
3222020202010000000000
421132022120111221
5131311421322100
64401044133213
7510005100012
oct113612302551
928222100000
1010169714025
1143495a1739
121b79997209
13c60bcc583
146c6900009
153e7c33900
hex25e298569

10169714025 has 99 divisors (see below), whose sum is σ = 19146205399. Its totient is φ = 5358499920.

The previous prime is 10169713969. The next prime is 10169714029. The reversal of 10169714025 is 52041796101.

The square root of 10169714025 is 100845.

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

It can be written as a sum of positive squares in only one way, i.e., 3661097049 + 6508616976 = 60507^2 + 80676^2 .

It is not a de Polignac number, because 10169714025 - 221 = 10167616873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10169714029) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 122526634 + ... + 122526716.

Almost surely, 210169714025 is an apocalyptic number.

10169714025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10169714025 is the 100845-th square number.

10169714025 is the 50423-rd centered octagonal number.

It is an amenable number.

10169714025 is a deficient number, since it is larger than the sum of its proper divisors (8976491374).

10169714025 is an frugal number, since it uses more digits than its factorization.

10169714025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 10169714025 by its sum of digits (36), we get a square (366109704900 = 6050702).

The spelling of 10169714025 in words is "ten billion, one hundred sixty-nine million, seven hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 135 225 243 249 405 415 675 729 747 1215 1245 2025 2075 2187 2241 3645 3735 6075 6225 6561 6723 6889 10935 11205 18225 18675 19683 20169 20667 32805 33615 34445 54675 56025 59049 60507 62001 98415 100845 103335 164025 168075 172225 181521 186003 295245 302535 310005 492075 504225 516675 544563 558009 907605 930015 1476225 1512675 1550025 1633689 1674027 2722815 2790045 4538025 4650075 4901067 5022081 8168445 8370135 13614075 13950225 15066243 24505335 25110405 40842225 41850675 45198729 75331215 122526675 125552025 135596187 225993645 376656075 406788561 677980935 1129968225 2033942805 3389904675 10169714025