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56008248120 = 23335114714499
BaseRepresentation
bin110100001010010110…
…100000101100111000
312100120022101210121000
4310022112200230320
51404201102414440
641421351045000
74021636153056
oct641226405470
9170508353530
1056008248120
1121831217870
12aa31070760
135387765b26
1429d46891d6
1516cc0ab730
hexd0a5a0b38

56008248120 has 128 divisors (see below), whose sum is σ = 203666400000. Its totient is φ = 13577754240.

The previous prime is 56008248103. The next prime is 56008248137. The reversal of 56008248120 is 2184280065.

56008248120 is a `hidden beast` number, since 5 + 600 + 8 + 2 + 48 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56008248103) and next prime (56008248137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345370 + ... + 2369129.

It is an arithmetic number, because the mean of its divisors is an integer number (1591143750).

Almost surely, 256008248120 is an apocalyptic number.

It is an amenable number.

56008248120 is an abundant number, since it is smaller than the sum of its proper divisors (147658151880).

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

56008248120 is a wasteful number, since it uses less digits than its factorization.

56008248120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714530 (or 4714520 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 56008248120 in words is "fifty-six billion, eight million, two hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 4714499 9428998 14143497 18857996 23572495 28286994 37715992 42430491 47144990 51859489 56573988 70717485 84860982 94289980 103718978 113147976 127291473 141434970 155578467 169721964 188579960 207437956 212152455 254582946 259297445 282869940 311156934 339443928 414875912 424304910 466735401 509165892 518594890 565739880 622313868 636457365 777892335 848609820 933470802 1018331784 1037189780 1244627736 1272914730 1400206203 1555784670 1697219640 1866941604 2074379560 2333677005 2545829460 2800412406 3111569340 3733883208 4667354010 5091658920 5600824812 6223138680 7001031015 9334708020 11201649624 14002062030 18669416040 28004124060 56008248120