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106364401563 = 3746131693467
BaseRepresentation
bin110001100001111001…
…1111111011110011011
3101011112201101102220010
41203003303333132123
53220313241322223
6120510234133003
710453544332050
oct1430363773633
9334481342803
10106364401563
1141121a28202
1218745281163
13a051234824
145210409027
152b77d53393
hex18c3cff79b

106364401563 has 32 divisors (see below), whose sum is σ = 162528791040. Its totient is φ = 60611189760.

The previous prime is 106364401547. The next prime is 106364401589. The reversal of 106364401563 is 365104463601.

It is not a de Polignac number, because 106364401563 - 24 = 106364401547 is a prime.

It is a super-2 number, since 2×1063644015632 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106364401523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30677356 + ... + 30680822.

It is an arithmetic number, because the mean of its divisors is an integer number (5079024720).

Almost surely, 2106364401563 is an apocalyptic number.

106364401563 is a deficient number, since it is larger than the sum of its proper divisors (56164389477).

106364401563 is a wasteful number, since it uses less digits than its factorization.

106364401563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 106364401563 in words is "one hundred six billion, three hundred sixty-four million, four hundred one thousand, five hundred sixty-three".

Divisors: 1 3 7 21 461 1383 3169 3227 3467 9507 9681 10401 22183 24269 66549 72807 1460909 1598287 4382727 4794861 10226363 10986923 11188009 30679089 32960769 33564027 76908461 230725383 5064971503 15194914509 35454800521 106364401563