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106716645992 = 23112477133037
BaseRepresentation
bin110001101100011001…
…1101100101001101000
3101012110021012022102002
41203120303230221220
53222023430132432
6121005220030132
710465352344535
oct1433063545150
9335407168362
10106716645992
1141292845700
1218823232348
13a0a91c5498
1452450dbd8c
152b98c31e62
hex18d8ceca68

106716645992 has 96 divisors (see below), whose sum is σ = 227787759360. Its totient is φ = 46805404800.

The previous prime is 106716645991. The next prime is 106716646027. The reversal of 106716645992 is 299546617601.

It is a super-2 number, since 2×1067166459922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106716645991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3213698 + ... + 3246734.

It is an arithmetic number, because the mean of its divisors is an integer number (2372789160).

Almost surely, 2106716645992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106716645992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113893879680).

106716645992 is an abundant number, since it is smaller than the sum of its proper divisors (121071113368).

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

106716645992 is a wasteful number, since it uses less digits than its factorization.

106716645992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33183 (or 33168 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 106716645992 in words is "one hundred six billion, seven hundred sixteen million, six hundred forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 47 71 88 94 121 142 188 242 284 376 484 517 568 781 968 1034 1562 2068 3124 3337 4136 5687 6248 6674 8591 11374 13348 17182 22748 26696 33037 34364 36707 45496 66074 68728 73414 132148 146828 264296 293656 363407 403777 726814 807554 1453628 1552739 1615108 2345627 2907256 3105478 3230216 3997477 4691254 6210956 7994954 9382508 12421912 15989908 17080129 18765016 25801897 31979816 34160258 51603794 68320516 103207588 110244469 136641032 187881419 206415176 220488938 283820867 375762838 440977876 567641734 751525676 881955752 1135283468 1212689159 1503051352 2270566936 2425378318 4850756636 9701513272 13339580749 26679161498 53358322996 106716645992