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106427771408 = 2472932767171
BaseRepresentation
bin110001100011110010…
…1101110101000010000
3101011201010121221222102
41203013211232220100
53220431002141113
6120520420255532
710455244062560
oct1430745565020
9334633557872
10106427771408
114115477a982
12187625415a8
13a0613c158a
1452189c2da0
152b7d6be758
hex18c796ea10

106427771408 has 40 divisors (see below), whose sum is σ = 243787759680. Its totient is φ = 44039076480.

The previous prime is 106427771347. The next prime is 106427771441. The reversal of 106427771408 is 804177724601.

It is a super-2 number, since 2×1064277714082 (a number of 23 digits) contains 22 as substring.

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, 16380338 + ... + 16386833.

It is an arithmetic number, because the mean of its divisors is an integer number (6094693992).

Almost surely, 2106427771408 is an apocalyptic number.

It is an amenable number.

106427771408 is an abundant number, since it is smaller than the sum of its proper divisors (137359988272).

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

106427771408 is a wasteful number, since it uses less digits than its factorization.

106427771408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32767215 (or 32767209 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The spelling of 106427771408 in words is "one hundred six billion, four hundred twenty-seven million, seven hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 32767171 65534342 131068684 229370197 262137368 458740394 524274736 917480788 950247959 1834961576 1900495918 3669923152 3800991836 6651735713 7601983672 13303471426 15203967344 26606942852 53213885704 106427771408