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11681191116 = 2234737139201
BaseRepresentation
bin10101110000100000…
…01101010011001100
31010011002012222210000
422320100031103030
5142410341103431
65211040244300
7562320325530
oct127020152314
933132188700
1011681191116
114a54800861
122320010690
1311420ac80a
147cb54dbc0
154857989e6
hex2b840d4cc

11681191116 has 120 divisors (see below), whose sum is σ = 35842844576. Its totient is φ = 3247257600.

The previous prime is 11681191103. The next prime is 11681191117. The reversal of 11681191116 is 61119118611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11681191117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14316 + ... + 153516.

Almost surely, 211681191116 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 11681191116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921422288).

11681191116 is an abundant number, since it is smaller than the sum of its proper divisors (24161653460).

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

11681191116 is a wasteful number, since it uses less digits than its factorization.

11681191116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139261 (or 139250 counting only the distinct ones).

The product of its digits is 2592, while the sum is 36.

The spelling of 11681191116 in words is "eleven billion, six hundred eighty-one million, one hundred ninety-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1998 2268 2331 2997 3108 3996 4662 5994 6993 9324 11988 13986 20979 27972 41958 83916 139201 278402 417603 556804 835206 974407 1252809 1670412 1948814 2505618 2923221 3758427 3897628 5011236 5150437 5846442 7516854 8769663 10300874 11275281 11692884 15033708 15451311 17539326 20601748 22550562 26308989 30902622 35078652 36053059 45101124 46353933 52617978 61805244 72106118 78926967 92707866 105235956 108159177 139061799 144212236 157853934 185415732 216318354 278123598 315707868 324477531 417185397 432636708 556247196 648955062 834370794 973432593 1297910124 1668741588 1946865186 2920297779 3893730372 5840595558 11681191116