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245563652106 = 2345212909453
BaseRepresentation
bin1110010010110010111…
…0111111100000001010
3212110211202100000220000
43210230232333200022
513010403243331411
6304451013143430
723512203413613
oct3445456774012
9773752300800
10245563652106
1195163309433
123b71292ab76
131a205c40776
14bc57554c0a
1565c3600956
hex392cbbf80a

245563652106 has 40 divisors (see below), whose sum is σ = 551300800644. Its totient is φ = 81697412160.

The previous prime is 245563652051. The next prime is 245563652107. The reversal of 245563652106 is 601256365542.

245563652106 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 636 + 5 + 2 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198911540025 + 46652112081 = 445995^2 + 215991^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (245563652107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1370325 + ... + 1539128.

Almost surely, 2245563652106 is an apocalyptic number.

245563652106 is an abundant number, since it is smaller than the sum of its proper divisors (305737148538).

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

245563652106 is a wasteful number, since it uses less digits than its factorization.

245563652106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909988 (or 2909979 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 245563652106 in words is "two hundred forty-five billion, five hundred sixty-three million, six hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 521 1042 1563 3126 4689 9378 14067 28134 42201 84402 2909453 5818906 8728359 17456718 26185077 52370154 78555231 157110462 235665693 471331386 1515825013 3031650026 4547475039 9094950078 13642425117 27284850234 40927275351 81854550702 122781826053 245563652106