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23126805625 = 5472112792
BaseRepresentation
bin10101100010011101…
…110000110001111001
32012200202011110012111
4111202131300301321
5334330430240000
614342503412321
71446050414200
oct254235606171
965622143174
1023126805625
11989852a400
1245951540a1
132247429991
14119569a237
1590550bcba
hex562770c79

23126805625 has 135 divisors (see below), whose sum is σ = 37425130281. Its totient is φ = 14234220000.

The previous prime is 23126805623. The next prime is 23126805641. The reversal of 23126805625 is 52650862132.

It is a happy number.

The square root of 23126805625 is 152075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1813141561 + 21313664064 = 42581^2 + 145992^2 .

It is not a de Polignac number, because 23126805625 - 21 = 23126805623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23126805623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 292744336 + ... + 292744414.

Almost surely, 223126805625 is an apocalyptic number.

23126805625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23126805625 is the 152075-th square number.

23126805625 is the 76038-th centered octagonal number.

It is an amenable number.

23126805625 is a deficient number, since it is larger than the sum of its proper divisors (14298324656).

23126805625 is an frugal number, since it uses more digits than its factorization.

23126805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 23126805625 in words is "twenty-three billion, one hundred twenty-six million, eight hundred five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 79 121 125 175 245 275 385 395 539 553 605 625 847 869 875 1225 1375 1925 1975 2695 2765 3025 3871 4235 4345 4375 5929 6083 6125 6241 6875 9559 9625 9875 13475 13825 15125 19355 21175 21725 29645 30415 30625 31205 42581 43687 47795 48125 49375 66913 67375 68651 69125 75625 96775 105875 108625 148225 152075 156025 212905 218435 238975 305809 334565 336875 343255 345625 468391 480557 483875 529375 543125 741125 755161 760375 780125 1064525 1092175 1194875 1529045 1672825 1716275 2341955 2402785 2419375 3363899 3705625 3775805 3801875 3900625 5286127 5322625 5460875 5974375 7645225 8364125 8581375 11709775 12013925 16819495 18879025 26430635 26613125 27304375 37002889 38226125 41820625 42906875 58548875 60069625 84097475 94395125 132153175 185014445 191130625 292744375 300348125 420487375 471975625 660765875 925072225 2102436875 3303829375 4625361125 23126805625