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10492022106768 = 2433111063661187
BaseRepresentation
bin1001100010101101110101…
…0000000010101010010000
31101011000202001121222221210
42120223131100002222100
52333400130124404033
634151545102220120
72132011042266006
oct230533520025220
941130661558853
1010492022106768
113385706a53224
121215510b84640
135b15165034c7
14283b609a0a76
15132dc5495d63
hex98add402a90

10492022106768 has 80 divisors (see below), whose sum is σ = 27217163990016. Its totient is φ = 3482810478720.

The previous prime is 10492022106767. The next prime is 10492022106877. The reversal of 10492022106768 is 86760122029401.

It is a super-2 number, since 2×104920221067682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10492022106767) by changing a digit.

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, 15537871 + ... + 16199057.

Almost surely, 210492022106768 is an apocalyptic number.

It is an amenable number.

10492022106768 is an abundant number, since it is smaller than the sum of its proper divisors (16725141883248).

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

10492022106768 is a wasteful number, since it uses less digits than its factorization.

10492022106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662572 (or 662566 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10492022106768 in words is "ten trillion, four hundred ninety-two billion, twenty-two million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1063 1244 1866 2126 2488 3189 3732 4252 4976 6378 7464 8504 12756 14928 17008 25512 51024 330593 661186 661187 991779 1322372 1322374 1983558 1983561 2644744 2644748 3967116 3967122 5289488 5289496 7934232 7934244 10578992 15868464 15868488 31736976 205629157 411258314 616887471 702841781 822516628 1233774942 1405683562 1645033256 2108525343 2467549884 2811367124 3290066512 4217050686 4935099768 5622734248 8434101372 9870199536 11245468496 16868202744 33736405488 218583793891 437167587782 655751381673 874335175564 1311502763346 1748670351128 2623005526692 3497340702256 5246011053384 10492022106768