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5261422241625 = 353113744976777
BaseRepresentation
bin100110010010000010100…
…1101000010011101011001
3200121222122120011222101120
41030210011031002131121
51142200343043213000
615105021454235453
71052060643102654
oct114440515023531
920558576158346
105261422241625
1117493a1765a20
1270b8477b5b89
132c21c46a88c4
1414292317c89b
1591cdd1d36a0
hex4c905342759

5261422241625 has 128 divisors (see below), whose sum is σ = 9831023654400. Its totient is φ = 2476486656000.

The previous prime is 5261422241587. The next prime is 5261422241629.

It is a happy number.

5261422241625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5261422241625 - 224 = 5261405464409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5261422241629) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68490237 + ... + 68567013.

It is an arithmetic number, because the mean of its divisors is an integer number (76804872300).

Almost surely, 25261422241625 is an apocalyptic number.

5261422241625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5261422241625 is a deficient number, since it is larger than the sum of its proper divisors (4569601412775).

5261422241625 is a wasteful number, since it uses less digits than its factorization.

5261422241625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77292 (or 77282 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 5261422241625 in words is "five trillion, two hundred sixty-one billion, four hundred twenty-two million, two hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 125 165 185 275 375 407 449 555 825 925 1221 1347 1375 2035 2245 2775 4125 4625 4939 6105 6735 10175 11225 13875 14817 16613 24695 30525 33675 49839 50875 56125 74085 76777 83065 123475 152625 168375 182743 230331 249195 370425 383885 415325 548229 617375 844547 913715 1151655 1245975 1852125 1919425 2076625 2533641 2741145 2840749 4222735 4568575 5758275 6229875 8522247 9597125 12668205 13705725 14203745 21113675 22842875 28791375 31248239 34472873 42611235 63341025 68528625 71018725 93744717 103418619 105568375 156241195 172364365 213056175 316705125 355093625 379201603 468723585 517093095 781205975 861821825 1065280875 1137604809 1275496301 1896008015 2343617925 2585465475 3826488903 3906029875 4309109125 5688024045 6377481505 9480040075 11718089625 12927327375 14030459311 19132444515 28440120225 31887407525 42091377933 47400200375 70152296555 95662222575 142200601125 159437037625 210456889665 350761482775 478311112875 1052284448325 1753807413875 5261422241625