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21182939920 = 245597956809
BaseRepresentation
bin10011101110100110…
…100000001100010000
32000200021102211202101
4103232212200030100
5321340313034140
613421543530144
71346635006222
oct235646401420
960607384671
1021182939920
118a9024331a
124132159954
131cc77a7b9c
14104d454412
1583ea3699a
hex4ee9a0310

21182939920 has 80 divisors (see below), whose sum is σ = 50719968000. Its totient is φ = 8223980544.

The previous prime is 21182939837. The next prime is 21182939983. The reversal of 21182939920 is 2993928112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344476 + ... + 401284.

It is an arithmetic number, because the mean of its divisors is an integer number (633999600).

Almost surely, 221182939920 is an apocalyptic number.

21182939920 is a gapful number since it is divisible by the number (20) 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 21182939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359984000).

21182939920 is an abundant number, since it is smaller than the sum of its proper divisors (29537028080).

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

21182939920 is a wasteful number, since it uses less digits than its factorization.

21182939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56960 (or 56954 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 21182939920 in words is "twenty-one billion, one hundred eighty-two million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 79 80 118 158 236 295 316 395 472 590 632 790 944 1180 1264 1580 2360 3160 4661 4720 6320 9322 18644 23305 37288 46610 56809 74576 93220 113618 186440 227236 284045 372880 454472 568090 908944 1136180 2272360 3351731 4487911 4544720 6703462 8975822 13406924 16758655 17951644 22439555 26813848 33517310 35903288 44879110 53627696 67034620 71806576 89758220 134069240 179516440 264786749 268138480 359032880 529573498 1059146996 1323933745 2118293992 2647867490 4236587984 5295734980 10591469960 21182939920