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106006561659 = 3237397801859
BaseRepresentation
bin110001010111001111…
…0111100001101111011
3101010121210001021211100
41202232132330031323
53214100134433114
6120410532302443
710441640623035
oct1425636741573
9333553037740
10106006561659
1140a58a38849
1218665471a23
139cc506503b
1451b8a9ac55
152b5671b909
hex18ae7bc37b

106006561659 has 24 divisors (see below), whose sum is σ = 157655298320. Its totient is φ = 68587725888.

The previous prime is 106006561607. The next prime is 106006561663. The reversal of 106006561659 is 956165600601.

It is not a de Polignac number, because 106006561659 - 28 = 106006561403 is a prime.

It is a super-2 number, since 2×1060065616592 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106006561679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268729 + ... + 533130.

Almost surely, 2106006561659 is an apocalyptic number.

106006561659 is a deficient number, since it is larger than the sum of its proper divisors (51648736661).

106006561659 is a wasteful number, since it uses less digits than its factorization.

106006561659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802299 (or 802296 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 106006561659 in words is "one hundred six billion, six million, five hundred sixty-one thousand, six hundred fifty-nine".

Divisors: 1 3 9 37 111 333 397 1191 3573 14689 44067 132201 801859 2405577 7216731 29668783 89006349 267019047 318338023 955014069 2865042207 11778506851 35335520553 106006561659