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9415722935025 = 345211261992
BaseRepresentation
bin1000100100000100010011…
…0100100010001011110001
31020100010121220212001110000
42021001010310202023301
52213231400032410100
632005305015500213
71661156251262061
oct211010464421361
936303556761400
109415722935025
113000205147300
1210809b6687669
13533b8ba56784
14247a1b0d73a1
15114dd05dc900
hex89044d222f1

9415722935025 has 135 divisors (see below), whose sum is σ = 19173969944283. Its totient is φ = 4564462557600.

The previous prime is 9415722934973. The next prime is 9415722935033. The reversal of 9415722935025 is 5205392275149.

The square root of 9415722935025 is 3068505.

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

9415722935025 is a `hidden beast` number, since 9 + 41 + 5 + 7 + 2 + 2 + 93 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3389660256609 + 6026062678416 = 1841103^2 + 2454804^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9415722935025 - 213 = 9415722926833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1518906876 + ... + 1518913074.

Almost surely, 29415722935025 is an apocalyptic number.

9415722935025 is the 3068505-th square number.

9415722935025 is the 1534253-rd centered octagonal number.

It is an amenable number.

9415722935025 is an abundant number, since it is smaller than the sum of its proper divisors (9758247009258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9415722935025 is an frugal number, since it uses more digits than its factorization.

9415722935025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 9415722935025 in words is "nine trillion, four hundred fifteen billion, seven hundred twenty-two million, nine hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1815 2025 2475 3025 3267 4455 5445 6199 7425 9075 9801 16335 18597 22275 27225 30995 49005 55791 68189 81675 92985 154975 167373 204567 245025 278955 340945 464925 502119 613701 750079 836865 1022835 1394775 1704725 1841103 2250237 2510595 3068505 3750395 4184325 5114175 5523309 6750711 9205515 11251185 12552975 15342525 18751975 20252133 27616545 33753555 38427601 46027575 56255925 60756399 101260665 115282803 138082725 168767775 192138005 303781995 345848409 422703611 506303325 576414015 960690025 1037545227 1268110833 1518909975 1729242045 2113518055 2882070075 3112635681 3804332499 4649739721 5187726135 6340554165 8646210225 10567590275 11412997497 13949219163 15563178405 19021662495 23248698605 25938630675 31702770825 34238992491 41847657489 57064987485 69746095815 77815892025 95108312475 116243493025 125542972467 171194962455 209238287445 285324937425 348730479075 376628917401 627714862335 855974812275 1046191437225 1883144587005 3138574311675 9415722935025