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3798048558816 = 253214988507843
BaseRepresentation
bin110111010001001101010…
…101011100111011100000
3111110002102112102112101100
4313101031111130323200
5444211400412340231
612024444401434400
7541254120040161
oct67211525347340
914402375375340
103798048558816
11123481a43a866
1251410693ba00
13217201404645
14d1b80003768
1568be15661e6
hex3744d55cee0

3798048558816 has 72 divisors (see below), whose sum is σ = 10873188635400. Its totient is φ = 1257519419136.

The previous prime is 3798048558791. The next prime is 3798048558937. The reversal of 3798048558816 is 6188558408973.

3798048558816 is a `hidden beast` number, since 3 + 7 + 9 + 80 + 485 + 58 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×37980485588163 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44211010 + ... + 44296833.

It is an arithmetic number, because the mean of its divisors is an integer number (151016508825).

Almost surely, 23798048558816 is an apocalyptic number.

3798048558816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3798048558816 is an abundant number, since it is smaller than the sum of its proper divisors (7075140076584).

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

3798048558816 is a wasteful number, since it uses less digits than its factorization.

3798048558816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88508008 (or 88507997 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 3798048558816 in words is "three trillion, seven hundred ninety-eight billion, forty-eight million, five hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 88507843 177015686 265523529 354031372 531047058 708062744 796570587 1062094116 1416125488 1593141174 2124188232 2832250976 3186282348 4248376464 6372564696 8496752928 12745129392 13187668607 25490258784 26375337214 39563005821 52750674428 79126011642 105501348856 118689017463 158252023284 211002697712 237378034926 316504046568 422005395424 474756069852 633008093136 949512139704 1266016186272 1899024279408 3798048558816