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11782985816 = 2375919917921
BaseRepresentation
bin10101111100101001…
…00001100001011000
31010102011202200212002
422332110201201120
5143112421021231
65225114140132
7564664504220
oct127624414130
933364680762
1011782985816
114aa7208708
12234a121648
13115a201174
147dac8b080
1548e6a50cb
hex2be521858

11782985816 has 64 divisors (see below), whose sum is σ = 25807680000. Its totient is φ = 4939038720.

The previous prime is 11782985803. The next prime is 11782985833. The reversal of 11782985816 is 61858928711.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 648536 + ... + 666456.

It is an arithmetic number, because the mean of its divisors is an integer number (403245000).

Almost surely, 211782985816 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 11782985816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903840000).

11782985816 is an abundant number, since it is smaller than the sum of its proper divisors (14024694184).

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

11782985816 is a wasteful number, since it uses less digits than its factorization.

11782985816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18192 (or 18188 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 56.

The spelling of 11782985816 in words is "eleven billion, seven hundred eighty-two million, nine hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 118 199 236 398 413 472 796 826 1393 1592 1652 2786 3304 5572 11144 11741 17921 23482 35842 46964 71684 82187 93928 125447 143368 164374 250894 328748 501788 657496 1003576 1057339 2114678 3566279 4229356 7132558 7401373 8458712 14265116 14802746 24963953 28530232 29605492 49927906 59210984 99855812 199711624 210410461 420820922 841641844 1472873227 1683283688 2945746454 5891492908 11782985816