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11466769632 = 253535634003
BaseRepresentation
bin10101010110111100…
…10000010011100000
31002121010202020210120
422223132100103200
5141440443112012
65133500400240
7554104635153
oct125336202340
932533666716
1011466769632
11495476881a
122280246080
1311098462b6
147aac95c9a
15471a4158c
hex2ab7904e0

11466769632 has 96 divisors (see below), whose sum is σ = 30730347648. Its totient is φ = 3742542336.

The previous prime is 11466769619. The next prime is 11466769649. The reversal of 11466769632 is 23696766411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2862543 + ... + 2866545.

It is an arithmetic number, because the mean of its divisors is an integer number (320107788).

Almost surely, 211466769632 is an apocalyptic number.

11466769632 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 11466769632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365173824).

11466769632 is an abundant number, since it is smaller than the sum of its proper divisors (19263578016).

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

11466769632 is a wasteful number, since it uses less digits than its factorization.

11466769632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4624 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 11466769632 in words is "eleven billion, four hundred sixty-six million, seven hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 563 636 848 1126 1272 1689 1696 2252 2544 3378 4003 4504 5088 6756 8006 9008 12009 13512 16012 18016 24018 27024 29839 32024 48036 54048 59678 64048 89517 96072 119356 128096 179034 192144 212159 238712 358068 384288 424318 477424 636477 716136 848636 954848 1272954 1432272 1697272 2253689 2545908 2864544 3394544 4507378 5091816 6761067 6789088 9014756 10183632 13522134 18029512 20367264 27044268 36059024 54088536 72118048 108177072 119445517 216354144 238891034 358336551 477782068 716673102 955564136 1433346204 1911128272 2866692408 3822256544 5733384816 11466769632