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10129936494 = 2367103349701
BaseRepresentation
bin10010110111100101…
…01001000001101110
3222010222021002111010
421123302221001232
5131221230431434
64353103410050
7506013016356
oct113362510156
928128232433
1010129936494
1143290a3247
121b685b3926
13c558b3082
146c1507b66
153e44c79e9
hex25bca906e

10129936494 has 64 divisors (see below), whose sum is σ = 20851084800. Its totient is φ = 3279830400.

The previous prime is 10129936477. The next prime is 10129936511. The reversal of 10129936494 is 49463992101.

It is a happy number.

10129936494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10129936477) and next prime (10129936511).

It is a super-2 number, since 2×101299364942 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14450344 + ... + 14451044.

It is an arithmetic number, because the mean of its divisors is an integer number (325798200).

Almost surely, 210129936494 is an apocalyptic number.

10129936494 is an abundant number, since it is smaller than the sum of its proper divisors (10721148306).

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

10129936494 is a wasteful number, since it uses less digits than its factorization.

10129936494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 10129936494 in words is "ten billion, one hundred twenty-nine million, nine hundred thirty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 67 103 134 201 206 309 349 402 618 698 701 1047 1402 2094 2103 4206 6901 13802 20703 23383 35947 41406 46766 46967 70149 71894 72203 93934 107841 140298 140901 144406 215682 216609 244649 281802 433218 489298 733947 1467894 2408449 4816898 4837601 7225347 9675202 14450694 14512803 16391483 25198847 29025606 32782966 49174449 50397694 75596541 98348898 151193082 1688322749 3376645498 5064968247 10129936494