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38103838106880 = 2835721319243151
BaseRepresentation
bin10001010100111101111011…
…01111000010010100000000
311222220200122222210112102210
420222132331233002110000
514443243130023410010
6213012354522142120
711011624425635100
oct1052367557022400
9158820588715383
1038103838106880
1111160824278947
124334942351940
13183523aa601b0
1495a3426db200
1546127cdc0b20
hex22a7bdbc2500

38103838106880 has 1296 divisors, whose sum is σ = 160901813124864. Its totient is φ = 7616183500800.

The previous prime is 38103838106879. The next prime is 38103838106923. The reversal of 38103838106880 is 8860183830183.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 38103838106880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 883013305 + ... + 883056455.

It is an arithmetic number, because the mean of its divisors is an integer number (124152633584).

Almost surely, 238103838106880 is an apocalyptic number.

38103838106880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38103838106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80450906562432).

38103838106880 is an abundant number, since it is smaller than the sum of its proper divisors (122797975017984).

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

38103838106880 is a wasteful number, since it uses less digits than its factorization.

38103838106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43240 (or 43200 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 38103838106880 in words is "thirty-eight trillion, one hundred three billion, eight hundred thirty-eight million, one hundred six thousand, eight hundred eighty".