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38144870880 = 253579468481
BaseRepresentation
bin100011100001100111…
…001000100111100000
310122110101022012202120
4203201213020213200
51111110041332010
625305024544240
72520160024044
oct434147104740
9118411265676
1038144870880
11151a4870086
127486782080
13379b92c61c
141bbc064024
15ed3bdde70
hex8e19c89e0

38144870880 has 48 divisors (see below), whose sum is σ = 120156344784. Its totient is φ = 10171965440.

The previous prime is 38144870867. The next prime is 38144870899. The reversal of 38144870880 is 8807844183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×381448708803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39733761 + ... + 39734720.

It is an arithmetic number, because the mean of its divisors is an integer number (2503257183).

Almost surely, 238144870880 is an apocalyptic number.

38144870880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38144870880 is an abundant number, since it is smaller than the sum of its proper divisors (82011473904).

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

38144870880 is a wasteful number, since it uses less digits than its factorization.

38144870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79468499 (or 79468491 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 38144870880 in words is "thirty-eight billion, one hundred forty-four million, eight hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 79468481 158936962 238405443 317873924 397342405 476810886 635747848 794684810 953621772 1192027215 1271495696 1589369620 1907243544 2384054430 2542991392 3178739240 3814487088 4768108860 6357478480 7628974176 9536217720 12714956960 19072435440 38144870880