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188831980320 = 25351920705261
BaseRepresentation
bin1010111111011101000…
…0110101101100100000
3200001102000200111120220
42233313100311230200
511043211441332240
6222425340403040
716433301230604
oct2576720655440
9601360614526
10188831980320
11730a0803775
123071b546480
1314a646569c9
1491d4b95504
154da2c965d0
hex2bf7435b20

188831980320 has 96 divisors (see below), whose sum is σ = 626127122880. Its totient is φ = 47704919040.

The previous prime is 188831980303. The next prime is 188831980321. The reversal of 188831980320 is 23089138881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (188831980321) 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, 10343511 + ... + 10361750.

It is an arithmetic number, because the mean of its divisors is an integer number (6522157530).

Almost surely, 2188831980320 is an apocalyptic number.

188831980320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188831980320 is an abundant number, since it is smaller than the sum of its proper divisors (437295142560).

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

188831980320 is a wasteful number, since it uses less digits than its factorization.

188831980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20705298 (or 20705290 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 188831980320 in words is "one hundred eighty-eight billion, eight hundred thirty-one million, nine hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 20705261 41410522 62115783 82821044 103526305 124231566 165642088 207052610 248463132 310578915 331284176 393399959 414105220 496926264 621157830 662568352 786799918 828210440 993852528 1180199877 1242315660 1573599836 1656420880 1966999795 1987705056 2360399754 2484631320 3147199672 3312841760 3933999590 4720799508 4969262640 5900999385 6294399344 7867999180 9441599016 9938525280 11801998770 12588798688 15735998360 18883198032 23603997540 31471996720 37766396064 47207995080 62943993440 94415990160 188831980320