Search a number
-
+
10296060066924 = 22317503631159017
BaseRepresentation
bin1001010111010011110100…
…0000001011110001101100
31100110021221010110221110020
42111310331000023301230
52322142312334120144
633521540015442140
72111602652366412
oct225647500136154
940407833427406
1010296060066924
11330a597543285
1211a3541826350
13598bb6936c88
14278490cb52b2
1512cc56794419
hex95d3d00bc6c

10296060066924 has 96 divisors (see below), whose sum is σ = 25528449494016. Its totient is φ = 3218585610240.

The previous prime is 10296060066923. The next prime is 10296060067019. The reversal of 10296060066924 is 42966006069201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10296060066923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64668664 + ... + 64827680.

It is an arithmetic number, because the mean of its divisors is an integer number (265921348896).

Almost surely, 210296060066924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10296060066924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764224747008).

10296060066924 is an abundant number, since it is smaller than the sum of its proper divisors (15232389427092).

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

10296060066924 is a wasteful number, since it uses less digits than its factorization.

10296060066924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160175 (or 160173 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 10296060066924 in words is "ten trillion, two hundred ninety-six billion, sixty million, sixty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 503 631 1006 1262 1509 1893 2012 2524 3018 3786 6036 7572 8551 10727 17102 21454 25653 32181 34204 42908 51306 64362 102612 128724 159017 317393 318034 477051 634786 636068 952179 954102 1269572 1904358 1908204 2703289 3808716 5395681 5406578 8109867 10791362 10813156 16187043 16219734 21582724 32374086 32439468 64748172 79985551 100339727 159971102 200679454 239956653 301019181 319942204 401358908 479913306 602038362 959826612 1204076724 1359754367 1705775359 2719508734 3411550718 4079263101 5117326077 5439017468 6823101436 8158526202 10234652154 16317052404 20469304308 50470882681 100941765362 151412648043 201883530724 302825296086 605650592172 858005005577 1716010011154 2574015016731 3432020022308 5148030033462 10296060066924