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10379797120125 = 335329768113807
BaseRepresentation
bin1001011100001011110000…
…0111101100010001111101
31100202022001220111222201000
42113002330013230101331
52330030311030321000
634024225111240513
72120626022531016
oct227027407542175
940668056458630
1010379797120125
113342057967784
1211b7811079139
135a3a70066b74
1427c5560b800d
15130007d98000
hex970bc1ec47d

10379797120125 has 128 divisors (see below), whose sum is σ = 19856876083200. Its totient is φ = 5343916032000.

The previous prime is 10379797120117. The next prime is 10379797120157. The reversal of 10379797120125 is 52102179797301.

10379797120125 is a `hidden beast` number, since 10 + 379 + 79 + 71 + 2 + 0 + 125 = 666.

It is not a de Polignac number, because 10379797120125 - 23 = 10379797120117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 751770972 + ... + 751784778.

It is an arithmetic number, because the mean of its divisors is an integer number (155131844400).

Almost surely, 210379797120125 is an apocalyptic number.

10379797120125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10379797120125 is a deficient number, since it is larger than the sum of its proper divisors (9477078963075).

10379797120125 is a wasteful number, since it uses less digits than its factorization.

10379797120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21541 (or 21525 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 10379797120125 in words is "ten trillion, three hundred seventy-nine billion, seven hundred ninety-seven million, one hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 125 135 145 225 261 375 435 675 725 783 1125 1305 2175 3375 3625 3915 6525 7681 10875 13807 19575 23043 32625 38405 41421 69035 69129 97875 115215 124263 192025 207105 207387 222749 345175 345645 372789 400403 576075 621315 668247 960125 1035525 1036935 1113745 1201209 1725875 1728225 1863945 2002015 2004741 2880375 3106575 3341235 3603627 5177625 5184675 5568725 6006045 6014223 8641125 9319725 10010075 10023705 10810881 15532875 16706175 18018135 25923375 27843625 30030225 30071115 46598625 50050375 50118525 54054405 83530875 90090675 106051567 150151125 150355575 250592625 270272025 318154701 450453375 530257835 751777875 954464103 1351360125 1590773505 2651289175 2863392309 3075495443 4772320515 7953867525 9226486329 13256445875 14316961545 15377477215 23861602575 27679458987 39769337625 46132431645 71584807725 76887386075 83038376961 119308012875 138397294935 230662158225 357924038625 384436930375 415191884805 691986474675 1153310791125 2075959424025 3459932373375 10379797120125