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11136342516 = 22313891794481
BaseRepresentation
bin10100101111100011…
…10001100111110100
31001202002222211000020
422113301301213310
5140301400430031
65041014245140
7542653230615
oct122761614764
931662884006
1011136342516
1147a51a1a62
1221a96567b0
131086253cb0
14779041c0c
15452a22096
hex297c719f4

11136342516 has 96 divisors (see below), whose sum is σ = 28462492800. Its totient is φ = 3368386560.

The previous prime is 11136342509. The next prime is 11136342521. The reversal of 11136342516 is 61524363111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2482996 + ... + 2487476.

It is an arithmetic number, because the mean of its divisors is an integer number (296484300).

Almost surely, 211136342516 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 11136342516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231246400).

11136342516 is an abundant number, since it is smaller than the sum of its proper divisors (17326150284).

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

11136342516 is a wasteful number, since it uses less digits than its factorization.

11136342516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4767 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The spelling of 11136342516 in words is "eleven billion, one hundred thirty-six million, three hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 179 267 356 358 534 537 716 1068 1074 1157 2148 2314 2327 3471 4481 4628 4654 6942 6981 8962 9308 13443 13884 13962 15931 17924 26886 27924 31862 47793 53772 58253 63724 95586 116506 174759 191172 207103 233012 349518 398809 414206 621309 699036 797618 802099 828412 1196427 1242618 1595236 1604198 2392854 2406297 2485236 3208396 4785708 4812594 5184517 9625188 10369034 10427287 15553551 20738068 20854574 31107102 31281861 41709148 62214204 62563722 71386811 125127444 142773622 214160433 285547244 428320866 856641732 928028543 1856057086 2784085629 3712114172 5568171258 11136342516