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108142486992 = 2434231136107
BaseRepresentation
bin110010010110111001…
…0110110010111010000
3101100010122011112120000
41210231302312113100
53232433434040432
6121402512450000
710545604654431
oct1445562662720
9340118145500
10108142486992
11419546840a1
1218b60849900
13a275720b97
14533c619488
152c2decd57c
hex192dcb65d0

108142486992 has 100 divisors (see below), whose sum is σ = 313139841696. Its totient is φ = 36030899520.

The previous prime is 108142486939. The next prime is 108142487009. The reversal of 108142486992 is 299684241801.

It is a happy number.

108142486992 is a `hidden beast` number, since 10 + 8 + 142 + 486 + 9 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2977003 + ... + 3013109.

Almost surely, 2108142486992 is an apocalyptic number.

108142486992 is a gapful number since it is divisible by the number (12) 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 108142486992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156569920848).

108142486992 is an abundant number, since it is smaller than the sum of its proper divisors (204997354704).

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

108142486992 is a wasteful number, since it uses less digits than its factorization.

108142486992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38438 (or 38423 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 108142486992 in words is "one hundred eight billion, one hundred forty-two million, four hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2311 4622 6933 9244 13866 18488 20799 27732 36107 36976 41598 55464 62397 72214 83196 108321 110928 124794 144428 166392 187191 216642 249588 288856 324963 332784 374382 433284 499176 577712 649926 748764 866568 974889 998352 1299852 1497528 1733136 1949778 2599704 2924667 2995056 3899556 5199408 5849334 7799112 11698668 15598224 23397336 46794672 83443277 166886554 250329831 333773108 500659662 667546216 750989493 1001319324 1335092432 1501978986 2002638648 2252968479 3003957972 4005277296 4505936958 6007915944 6758905437 9011873916 12015831888 13517810874 18023747832 27035621748 36047495664 54071243496 108142486992