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10140055322166 = 23272111045151033
BaseRepresentation
bin1001001110001110101001…
…1001010011111000110110
31022220101020220000210022200
42103203222121103320312
52312113313130302131
633322135504405330
72064411011055600
oct223435231237066
938811226023280
1010140055322166
11325a411973560
121179264016846
1358728431a213
14270ad1c3c170
15128b759412e6
hex938ea653e36

10140055322166 has 72 divisors (see below), whose sum is σ = 27880448982984. Its totient is φ = 2633780600640.

The previous prime is 10140055322093. The next prime is 10140055322227. The reversal of 10140055322166 is 66122355004101.

10140055322166 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 0 + 5 + 532 + 21 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10140055322166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 522565815 + ... + 522585218.

It is an arithmetic number, because the mean of its divisors is an integer number (387228458097).

Almost surely, 210140055322166 is an apocalyptic number.

10140055322166 is an abundant number, since it is smaller than the sum of its proper divisors (17740393660818).

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

10140055322166 is a wasteful number, since it uses less digits than its factorization.

10140055322166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045151066 (or 1045151056 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10140055322166 in words is "ten trillion, one hundred forty billion, fifty-five million, three hundred twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 1045151033 2090302066 3135453099 6270906198 7316057231 9406359297 11496661363 14632114462 18812718594 21948171693 22993322726 34489984089 43896343386 51212400617 65844515079 68979968178 80476629541 102424801234 103469952267 131689030158 153637201851 160953259082 206939904534 241429888623 307274403702 460911605553 482859777246 563336406787 724289665869 921823211106 1126672813574 1448579331738 1690009220361 3380018440722 5070027661083 10140055322166