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978229793025 = 34523127092
BaseRepresentation
bin11100011110000110000…
…10100001000100000001
310110111222111221022210000
432033003002201010001
5112011403311334100
62025220443230213
7130450306021602
oct16170302410401
93414874838700
10978229793025
11347957241201
12139707218369
1371328c32874
14354bd001da9
151a6a53c9900
hexe3c30a1101

978229793025 has 135 divisors (see below), whose sum is σ = 1875002103513. Its totient is φ = 504180676800.

The previous prime is 978229792933. The next prime is 978229793063. The reversal of 978229793025 is 520397922879.

The square root of 978229793025 is 989055.

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 270168129729 + 708061663296 = 519777^2 + 841464^2 .

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

It is not a de Polignac number, because 978229793025 - 217 = 978229661953 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, 1379731371 + ... + 1379732079.

Almost surely, 2978229793025 is an apocalyptic number.

978229793025 is the 989055-th square number.

978229793025 is the 494528-th centered octagonal number.

It is an amenable number.

978229793025 is a deficient number, since it is larger than the sum of its proper divisors (896772310488).

978229793025 is an frugal number, since it uses more digits than its factorization.

978229793025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 978229793025 in words is "nine hundred seventy-eight billion, two hundred twenty-nine million, seven hundred ninety-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 135 155 225 279 405 465 675 709 775 837 961 1395 2025 2127 2325 2511 2883 3545 4185 4805 6381 6975 8649 10635 12555 14415 17725 19143 20925 21979 24025 25947 31905 43245 53175 57429 62775 65937 72075 77841 95715 109895 129735 159525 197811 216225 287145 329685 389205 478575 502681 549475 593433 648675 681349 989055 1435725 1508043 1648425 1780299 1946025 2044047 2513405 2967165 3406745 4524129 4945275 6132141 7540215 8901495 10220235 12567025 13572387 14835825 15583111 17033725 18396423 22620645 30660705 37701075 40717161 44507475 46749333 51101175 55189269 67861935 77915555 91982115 113103225 140247999 153303525 203585805 233746665 275946345 339309675 389577775 420743997 459910575 483076441 701239995 1017929025 1168733325 1262231991 1379731725 1449229323 2103719985 2415382205 3506199975 4347687969 6311159955 7246146615 10518599925 12076911025 13043063907 21738439845 31555799775 36230733075 39129191721 65215319535 108692199225 195645958605 326076597675 978229793025