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107662110672 = 24331197367277
BaseRepresentation
bin110010001000100101…
…0010110111111010000
3101021220011020220010110
41210101022112333100
53230443000020142
6121243112401320
710530652561404
oct1442112267720
9337804226113
10107662110672
1141728500276
1218a479a6240
13a1ca049b3c
1452d48d1104
152c01c3e99c
hex1911296fd0

107662110672 has 80 divisors (see below), whose sum is σ = 288557102592. Its totient is φ = 34553326080.

The previous prime is 107662110643. The next prime is 107662110709. The reversal of 107662110672 is 276011266701.

It is a super-2 number, since 2×1076621106722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107662110672.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109498 + ... + 476774.

Almost surely, 2107662110672 is an apocalyptic number.

107662110672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107662110672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144278551296).

107662110672 is an abundant number, since it is smaller than the sum of its proper divisors (180894991920).

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

107662110672 is a wasteful number, since it uses less digits than its factorization.

107662110672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367516 (or 367510 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 107662110672 in words is "one hundred seven billion, six hundred sixty-two million, one hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 197 248 372 394 496 591 744 788 1182 1488 1576 2364 3152 4728 6107 9456 12214 18321 24428 36642 48856 73284 97712 146568 293136 367277 734554 1101831 1469108 2203662 2938216 4407324 5876432 8814648 11385587 17629296 22771174 34156761 45542348 68313522 72353569 91084696 136627044 144707138 182169392 217060707 273254088 289414276 434121414 546508176 578828552 868242828 1157657104 1736485656 2242960639 3472971312 4485921278 6728881917 8971842556 13457763834 17943685112 26915527668 35887370224 53831055336 107662110672