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10465500150 = 2325276435167
BaseRepresentation
bin10011011111100101…
…01101101111110110
31000000100200111021200
421233302231233312
5132413132001100
64450251553330
7520226166150
oct115762555766
930010614250
1010465500150
114490558186
122040a5b846
13caa283351
14713cd7ad0
15413bade00
hex26fcadbf6

10465500150 has 144 divisors (see below), whose sum is σ = 32190273024. Its totient is φ = 2387931840.

The previous prime is 10465500131. The next prime is 10465500161. The reversal of 10465500150 is 5100556401.

It is a happy number.

10465500150 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 5 + 500 + 150 = 666.

10465500150 is a nontrivial binomial coefficient, being equal to C(144676, 2).

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 2022867 + ... + 2028033.

Almost surely, 210465500150 is an apocalyptic number.

10465500150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10465500150 is the 144675-th triangular number and also the 72338-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10465500150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095136512).

10465500150 is an abundant number, since it is smaller than the sum of its proper divisors (21724772874).

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

10465500150 is a wasteful number, since it uses less digits than its factorization.

10465500150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10465500150 in words is "ten billion, four hundred sixty-five million, five hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 643 1050 1286 1575 1929 3150 3215 3858 4501 5167 5787 6430 9002 9645 10334 11574 13503 15501 16075 19290 22505 25835 27006 28935 31002 32150 36169 40509 45010 46503 48225 51670 57870 67515 72338 77505 81018 93006 96450 108507 112525 129175 135030 144675 155010 180845 202545 217014 225050 232515 258350 289350 325521 337575 361690 387525 405090 465030 542535 651042 675150 775050 904225 1012725 1085070 1162575 1627605 1808450 2025450 2325150 2712675 3255210 3322381 5425350 6644762 8138025 9967143 16276050 16611905 19934286 23256667 29901429 33223810 46513334 49835715 59802858 69770001 83059525 99671430 116283335 139540002 149507145 166119050 209310003 232566670 249178575 299014290 348850005 418620006 498357150 581416675 697700010 747535725 1046550015 1162833350 1495071450 1744250025 2093100030 3488500050 5232750075 10465500150