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133696266025 = 52723123372
BaseRepresentation
bin111110010000011101…
…0110001111100101001
3110210002112010000101111
41330200322301330221
54142302221003100
6141230314550321
712442055340100
oct1744072617451
9423075100344
10133696266025
1151778069543
1221ab27383a1
13c7b88bb9aa
146684357037
1537275dd6ba
hex1f20eb1f29

133696266025 has 81 divisors (see below), whose sum is σ = 199864753317. Its totient is φ = 88456838400.

The previous prime is 133696266023. The next prime is 133696266049. The reversal of 133696266025 is 520662696331.

The square root of 133696266025 is 365645.

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 18512051481 + 115184214544 = 136059^2 + 339388^2 .

It is not a de Polignac number, because 133696266025 - 21 = 133696266023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 133696266025.

It is not an unprimeable number, because it can be changed into a prime (133696266023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 396724657 + ... + 396724993.

Almost surely, 2133696266025 is an apocalyptic number.

133696266025 is the 365645-th square number.

133696266025 is the 182823-rd centered octagonal number.

It is an amenable number.

133696266025 is a deficient number, since it is larger than the sum of its proper divisors (66168487292).

133696266025 is an frugal number, since it uses more digits than its factorization.

133696266025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 133696266025 by its sum of digits (49), we get a square (6551117035225 = 25595152).

133696266025 divided by its sum of digits (49) gives a square (2728495225 = 522352).

The spelling of 133696266025 in words is "one hundred thirty-three billion, six hundred ninety-six million, two hundred sixty-six thousand, twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 337 775 961 1085 1225 1519 1685 2359 4805 5425 6727 7595 8425 10447 11795 16513 24025 33635 37975 47089 52235 58975 73129 82565 113569 168175 235445 261175 323857 365645 412825 511903 567845 794983 1177225 1619285 1828225 2266999 2559515 2839225 3520639 3974915 5564881 8096425 11334995 12797575 15868993 17603195 19874575 24644473 27824405 56674975 79344965 88015975 109139809 123222365 139122025 172511311 396724825 545699045 616111825 763978663 862556555 2728495225 3819893315 4312782775 5347850641 19099466575 26739253205 133696266025