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5201350024056 = 2331959251770239
BaseRepresentation
bin100101110110000100010…
…0111101101101101111000
3200102020121000201010202120
41023230020213231231320
51140204331101232211
615021244530201240
71044533205504264
oct113541047555570
920366530633676
105201350024056
11172597554281a
12700081723220
132b963ccb4734
1413da64c8b0a4
1590474467d06
hex4bb089edb78

5201350024056 has 128 divisors (see below), whose sum is σ = 13975234560000. Its totient is φ = 1608256944000.

The previous prime is 5201350024043. The next prime is 5201350024099. The reversal of 5201350024056 is 6504200531025.

It is a super-4 number, since 4×52013500240564 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 6367785 + ... + 7138023.

It is an arithmetic number, because the mean of its divisors is an integer number (109181520000).

Almost surely, 25201350024056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201350024056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987617280000).

5201350024056 is an abundant number, since it is smaller than the sum of its proper divisors (8773884535944).

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

5201350024056 is a wasteful number, since it uses less digits than its factorization.

5201350024056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770577 (or 770573 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 5201350024056 in words is "five trillion, two hundred one billion, three hundred fifty million, twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 251 354 456 472 502 708 753 1004 1121 1416 1506 2008 2242 3012 3363 4484 4769 6024 6726 8968 9538 13452 14307 14809 19076 26904 28614 29618 38152 44427 57228 59236 88854 114456 118472 177708 281371 355416 562742 770239 844113 1125484 1540478 1688226 2250968 2310717 3080956 3376452 4621434 6161912 6752904 9242868 14634541 18485736 29269082 43903623 45444101 58538164 87807246 90888202 117076328 136332303 175614492 181776404 193329989 272664606 351228984 363552808 386659978 545329212 579989967 773319956 863437919 1090658424 1159979934 1546639912 1726875838 2319959868 2590313757 3453751676 3673269791 4639919736 5180627514 6907503352 7346539582 10361255028 11019809373 11406469351 14693079164 20722510056 22039618746 22812938702 29386158328 34219408053 44079237492 45625877404 68438816106 88158474984 91251754808 136877632212 216722917669 273755264424 433445835338 650168753007 866891670676 1300337506014 1733783341352 2600675012028 5201350024056