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53774616013760 = 265307661828109
BaseRepresentation
bin11000011101000011000001…
…11000101010101111000000
321001101210200110010011200002
430032201200320222233000
524022020403144420020
6310211414554215132
714220042054231365
oct1416414070525700
9231353613104602
1053774616013760
1116152760924a34
126045a6a1244a8
132400c03270635
14d3c9c34c646c
15633c03e24975
hex30e860e2abc0

53774616013760 has 112 divisors (see below), whose sum is σ = 128662417218720. Its totient is φ = 21407320535040.

The previous prime is 53774616013733. The next prime is 53774616013823. The reversal of 53774616013760 is 6731061647735.

It is a junction number, because it is equal to n+sod(n) for n = 53774616013696 and 53774616013705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64522586 + ... + 65350694.

It is an arithmetic number, because the mean of its divisors is an integer number (1148771582310).

Almost surely, 253774616013760 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 53774616013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64331208609360).

53774616013760 is an abundant number, since it is smaller than the sum of its proper divisors (74887801204960).

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

53774616013760 is a wasteful number, since it uses less digits than its factorization.

53774616013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829094 (or 829084 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 56.

The spelling of 53774616013760 in words is "fifty-three trillion, seven hundred seventy-four billion, six hundred sixteen million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 307 320 614 661 1228 1322 1535 2456 2644 3070 3305 4912 5288 6140 6610 9824 10576 12280 13220 19648 21152 24560 26440 42304 49120 52880 98240 105760 202927 211520 405854 811708 828109 1014635 1623416 1656218 2029270 3246832 3312436 4058540 4140545 6493664 6624872 8117080 8281090 12987328 13249744 16234160 16562180 26499488 32468320 33124360 52998976 64936640 66248720 132497440 254229463 264994880 508458926 547380049 1016917852 1094760098 1271147315 2033835704 2189520196 2542294630 2736900245 4067671408 4379040392 5084589260 5473800490 8135342816 8758080784 10169178520 10947600980 16270685632 17516161568 20338357040 21895201960 35032323136 40676714080 43790403920 81353428160 87580807840 168045675043 175161615680 336091350086 672182700172 840228375215 1344365400344 1680456750430 2688730800688 3360913500860 5377461601376 6721827001720 10754923202752 13443654003440 26887308006880 53774616013760