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22137367616 = 2671329131071
BaseRepresentation
bin10100100111011111…
…010110110001000000
32010010210100210102022
4110213133112301000
5330314131230431
614100400341012
71412404343240
oct244737266100
963123323368
1022137367616
11942aa6aa41
124359914768
13211a44a0c0
1411000dbb20
1589871507b
hex5277d6c40

22137367616 has 112 divisors (see below), whose sum is σ = 55931043840. Its totient is φ = 8455587840.

The previous prime is 22137367601. The next prime is 22137367627. The reversal of 22137367616 is 61676373122.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103361 + ... + 234431.

It is an arithmetic number, because the mean of its divisors is an integer number (499384320).

Almost surely, 222137367616 is an apocalyptic number.

22137367616 is a gapful number since it is divisible by the number (26) 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 22137367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965521920).

22137367616 is an abundant number, since it is smaller than the sum of its proper divisors (33793676224).

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

22137367616 is a wasteful number, since it uses less digits than its factorization.

22137367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131132 (or 131122 counting only the distinct ones).

The product of its digits is 381024, while the sum is 44.

The spelling of 22137367616 in words is "twenty-two billion, one hundred thirty-seven million, three hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 182 203 208 224 232 364 377 406 416 448 464 728 754 812 832 928 1456 1508 1624 1856 2639 2912 3016 3248 5278 5824 6032 6496 10556 12064 12992 21112 24128 42224 84448 131071 168896 262142 524284 917497 1048568 1703923 1834994 2097136 3407846 3669988 3801059 4194272 6815692 7339976 7602118 8388544 11927461 13631384 14679952 15204236 23854922 26607413 27262768 29359904 30408472 47709844 49413767 53214826 54525536 58719808 60816944 95419688 98827534 106429652 109051072 121633888 190839376 197655068 212859304 243267776 345896369 381678752 395310136 425718608 691792738 763357504 790620272 851437216 1383585476 1581240544 1702874432 2767170952 3162481088 5534341904 11068683808 22137367616