Search a number
-
+
10622631792 = 2432973104537
BaseRepresentation
bin10011110010010100…
…00111111101110000
31000102022100121101010
421321022013331300
5133223343204132
64514023510520
7524144610663
oct117112077560
930368317333
1010622631792
114561220543
1220855b8440
1310039ab356
1472ab1b6da
1542289b6cc
hex279287f70

10622631792 has 80 divisors (see below), whose sum is σ = 28777220640. Its totient is φ = 3371913216.

The previous prime is 10622631787. The next prime is 10622631797. The reversal of 10622631792 is 29713622601.

It is an interprime number because it is at equal distance from previous prime (10622631787) and next prime (10622631797).

It is a super-2 number, since 2×106226317922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10622631792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10622631797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49348 + ... + 153884.

It is an arithmetic number, because the mean of its divisors is an integer number (359715258).

Almost surely, 210622631792 is an apocalyptic number.

10622631792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10622631792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388610320).

10622631792 is an abundant number, since it is smaller than the sum of its proper divisors (18154588848).

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

10622631792 is a wasteful number, since it uses less digits than its factorization.

10622631792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104650 (or 104644 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 10622631792 in words is "ten billion, six hundred twenty-two million, six hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 219 232 292 348 438 464 584 696 876 1168 1392 1752 2117 3504 4234 6351 8468 12702 16936 25404 33872 50808 101616 104537 209074 313611 418148 627222 836296 1254444 1672592 2508888 3031573 5017776 6063146 7631201 9094719 12126292 15262402 18189438 22893603 24252584 30524804 36378876 45787206 48505168 61049608 72757752 91574412 122099216 145515504 183148824 221304829 366297648 442609658 663914487 885219316 1327828974 1770438632 2655657948 3540877264 5311315896 10622631792