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106402372764 = 22319391457267
BaseRepresentation
bin110001100011000010…
…0110101110010011100
3101011122100211120120220
41203012010311302130
53220403001412024
6120514112041340
710454515150212
oct1430604656234
9334570746526
10106402372764
1141141402566
1218755b33250
13a05906aaac
145215490cb2
152b7b353e79
hex18c6135c9c

106402372764 has 24 divisors (see below), whose sum is σ = 248285549568. Its totient is φ = 35465550960.

The previous prime is 106402372729. The next prime is 106402372801. The reversal of 106402372764 is 467273204601.

It is a super-2 number, since 2×1064023727642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4059 + ... + 461325.

It is an arithmetic number, because the mean of its divisors is an integer number (10345231232).

Almost surely, 2106402372764 is an apocalyptic number.

It is an amenable number.

106402372764 is an abundant number, since it is smaller than the sum of its proper divisors (141883176804).

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

106402372764 is a wasteful number, since it uses less digits than its factorization.

106402372764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476665 (or 476663 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 106402372764 in words is "one hundred six billion, four hundred two million, three hundred seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19391 38782 58173 77564 116346 232692 457267 914534 1371801 1829068 2743602 5487204 8866864397 17733728794 26600593191 35467457588 53201186382 106402372764