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107981582740 = 22541216160937
BaseRepresentation
bin110010010010000110…
…1000011000110010100
3101022201102101202102021
41210210031003012110
53232121241121430
6121334524022524
710541612211013
oct1444415030624
9338642352367
10107981582740
1141881874379
1218b16991a44
13a24b2a4975
1453250d2a7a
152c1ece807a
hex1924343194

107981582740 has 48 divisors (see below), whose sum is σ = 232403394384. Its totient is φ = 42118963200.

The previous prime is 107981582711. The next prime is 107981582767. The reversal of 107981582740 is 47285189701.

107981582740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24299821456 + 83681761284 = 155884^2 + 289278^2 .

It is a super-2 number, since 2×1079815827402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1741552 + ... + 1802488.

It is an arithmetic number, because the mean of its divisors is an integer number (4841737383).

Almost surely, 2107981582740 is an apocalyptic number.

107981582740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107981582740 is an abundant number, since it is smaller than the sum of its proper divisors (124421811644).

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

107981582740 is a wasteful number, since it uses less digits than its factorization.

107981582740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63148 (or 63146 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 107981582740 in words is "one hundred seven billion, nine hundred eighty-one million, five hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2161 4322 8644 10805 21610 43220 60937 88601 121874 177202 243748 304685 354404 443005 609370 886010 1218740 1772020 2498417 4996834 9993668 12492085 24984170 49968340 131684857 263369714 526739428 658424285 1316848570 2633697140 5399079137 10798158274 21596316548 26995395685 53990791370 107981582740