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11788130332352 = 261146150372211
BaseRepresentation
bin1010101110001010001101…
…0100100010111011000000
31112201221020001220211022202
42223202203110202323000
53021114042331113402
641023220423452332
72324443600365323
oct253424324427300
945657201824282
1011788130332352
113835355290720
1213a4750bb70a8
1367680123ca3a
142ca7973287ba
151569828c2b02
hexab8a3522ec0

11788130332352 has 112 divisors (see below), whose sum is σ = 25625175738624. Its totient is φ = 5335914624000.

The previous prime is 11788130332261. The next prime is 11788130332357. The reversal of 11788130332352 is 25323303188711.

It is a junction number, because it is equal to n+sod(n) for n = 11788130332297 and 11788130332306.

It is not an unprimeable number, because it can be changed into a prime (11788130332357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163209527 + ... + 163281737.

It is an arithmetic number, because the mean of its divisors is an integer number (228796211952).

Almost surely, 211788130332352 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 11788130332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812587869312).

11788130332352 is an abundant number, since it is smaller than the sum of its proper divisors (13837045406272).

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

11788130332352 is a wasteful number, since it uses less digits than its factorization.

11788130332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73198 (or 73188 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 11788130332352 in words is "eleven trillion, seven hundred eighty-eight billion, one hundred thirty million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 461 503 704 922 1006 1844 2012 3688 4024 5071 5533 7376 8048 10142 11066 14752 16096 20284 22132 29504 32192 40568 44264 72211 81136 88528 144422 162272 177056 231883 288844 324544 354112 463766 577688 794321 927532 1155376 1588642 1855064 2310752 2550713 3177284 3710128 4621504 5101426 6354568 7420256 10202852 12709136 14840512 20405704 25418272 33289271 36322133 40811408 50836544 66578542 72644266 81622816 133157084 145288532 163245632 266314168 290577064 366181981 399543463 532628336 581154128 732363962 799086926 1065256672 1162308256 1464727924 1598173852 2130513344 2324616512 2929455848 3196347704 5858911696 6392695408 11717823392 12785390816 16744503313 23435646784 25570781632 33489006626 66978013252 133956026504 184189536443 267912053008 368379072886 535824106016 736758145772 1071648212032 1473516291544 2947032583088 5894065166176 11788130332352