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106384769838 = 23236389162419
BaseRepresentation
bin110001100010100000…
…1101100001100101110
3101011121010201020220200
41203011001230030232
53220334000113323
6120512242454330
710454212423554
oct1430501541456
9334533636820
10106384769838
114113247a196
12187500643a6
13a055516769
145212dcbbd4
152b79a28443
hex18c506c32e

106384769838 has 24 divisors (see below), whose sum is σ = 230508088200. Its totient is φ = 35460397104.

The previous prime is 106384769801. The next prime is 106384769891. The reversal of 106384769838 is 838967483601.

106384769838 is a `hidden beast` number, since 10 + 6 + 38 + 476 + 98 + 38 = 666.

It is a super-2 number, since 2×1063847698382 (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 11 ways as a sum of consecutive naturals, for example, 573793 + ... + 736211.

It is an arithmetic number, because the mean of its divisors is an integer number (9604503675).

Almost surely, 2106384769838 is an apocalyptic number.

106384769838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106384769838 is an abundant number, since it is smaller than the sum of its proper divisors (124123318362).

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

106384769838 is a wasteful number, since it uses less digits than its factorization.

106384769838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198816 (or 198813 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 106384769838 in words is "one hundred six billion, three hundred eighty-four million, seven hundred sixty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 36389 72778 109167 162419 218334 324838 327501 487257 655002 974514 1461771 2923542 5910264991 11820529982 17730794973 35461589946 53192384919 106384769838