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103880827728 = 2433351168489
BaseRepresentation
bin110000010111111000…
…1111010001101010000
3100221010122002211002000
41200233301322031100
53200221442441403
6115415554354000
710335156316026
oct1405761721520
9327118084060
10103880827728
1140068023447
121817158b900
139a46836c02
145056632716
152a7ecbe7a3
hex182fc7a350

103880827728 has 80 divisors (see below), whose sum is σ = 298265731200. Its totient is φ = 34616574720.

The previous prime is 103880827723. The next prime is 103880827769. The reversal of 103880827728 is 827728088301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103880827723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482508 + ... + 1550996.

It is an arithmetic number, because the mean of its divisors is an integer number (3728321640).

Almost surely, 2103880827728 is an apocalyptic number.

103880827728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103880827728 is an abundant number, since it is smaller than the sum of its proper divisors (194384903472).

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

103880827728 is a wasteful number, since it uses less digits than its factorization.

103880827728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72017 (or 72005 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 103880827728 in words is "one hundred three billion, eight hundred eighty million, eight hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3511 7022 10533 14044 21066 28088 31599 42132 56176 63198 68489 84264 94797 126396 136978 168528 189594 205467 252792 273956 379188 410934 505584 547912 616401 758376 821868 1095824 1232802 1516752 1643736 1849203 2465604 3287472 3698406 4931208 7396812 9862416 14793624 29587248 240464879 480929758 721394637 961859516 1442789274 1923719032 2164183911 2885578548 3847438064 4328367822 5771157096 6492551733 8656735644 11542314192 12985103466 17313471288 25970206932 34626942576 51940413864 103880827728