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106164313536 = 2633083179351
BaseRepresentation
bin110001011011111100…
…0101101110111000000
3101011000202212220201110
41202313320231313000
53214411031013121
6120434325403320
710445564530041
oct1426770556700
9334022786643
10106164313536
1141029a950a6
12186aa269540
13a01b949448
1451d1a028c8
152b654ccd76
hex18b7e2ddc0

106164313536 has 56 divisors (see below), whose sum is σ = 280985756544. Its totient is φ = 35376428800.

The previous prime is 106164313499. The next prime is 106164313553. The reversal of 106164313536 is 635313461601.

It is a super-2 number, since 2×1061643135362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106164313494 and 106164313503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502261 + ... + 681611.

Almost surely, 2106164313536 is an apocalyptic number.

106164313536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106164313536 is an abundant number, since it is smaller than the sum of its proper divisors (174821443008).

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

106164313536 is a wasteful number, since it uses less digits than its factorization.

106164313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182449 (or 182439 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 106164313536 in words is "one hundred six billion, one hundred sixty-four million, three hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3083 6166 9249 12332 18498 24664 36996 49328 73992 98656 147984 179351 197312 295968 358702 538053 591936 717404 1076106 1434808 2152212 2869616 4304424 5739232 8608848 11478464 17217696 34435392 552939133 1105878266 1658817399 2211756532 3317634798 4423513064 6635269596 8847026128 13270539192 17694052256 26541078384 35388104512 53082156768 106164313536