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78148365510054 = 23721720997449227
BaseRepresentation
bin10001110001001101010101…
…100100001110010110100110
3101020200220120221212222211210
4101301031111210032112212
540220340323032310204
6434112510303212250
722314014230464600
oct2161152544162646
9336626527788753
1078148365510054
112299a599008a74
1289218155a7086
13347b4893599a8
141542588784170
15907c41cc7389
hex47135590e5a6

78148365510054 has 96 divisors (see below), whose sum is σ = 192601279785600. Its totient is φ = 21004671942912.

The previous prime is 78148365509923. The next prime is 78148365510079. The reversal of 78148365510054 is 45001556384187.

It is a happy number.

It is a super-2 number, since 2×781483655100542 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78148365509976 and 78148365510003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6766189 + ... + 14215415.

It is an arithmetic number, because the mean of its divisors is an integer number (2006263331100).

Almost surely, 278148365510054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78148365510054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300639892800).

78148365510054 is an abundant number, since it is smaller than the sum of its proper divisors (114452914275546).

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

78148365510054 is a wasteful number, since it uses less digits than its factorization.

78148365510054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451362 (or 7451355 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 78148365510054 in words is "seventy-eight trillion, one hundred forty-eight billion, three hundred sixty-five million, five hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2099 2499 4198 4998 6297 12594 14693 29386 35683 44079 71366 88158 102851 107049 205702 214098 249781 308553 499562 617106 749343 1498686 1748467 3496934 5245401 7449227 10490802 14898454 22347681 44695362 52144589 104289178 126636859 156433767 253273718 312867534 365012123 379910577 730024246 759821154 886458013 1095036369 1772916026 2190072738 2659374039 5318748078 6205206091 12410412182 15635927473 18615618273 31271854946 37231236546 46907782419 93815564838 109451492311 218902984622 265810767041 328354476933 531621534082 656708953866 766160446177 797432301123 1532320892354 1594864602246 1860675369287 2298481338531 3721350738574 4596962677062 5582026107861 11164052215722 13024727585009 26049455170018 39074182755027 78148365510054