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11684716248 = 2334721314861
BaseRepresentation
bin10101110000111011…
…01001111011011000
31010011022212002100110
422320131221323120
5142412241404443
65211244004320
7562362310062
oct127035517330
933138762313
1011684716248
114a56799297
1223212306a0
131142a451aa
147cbbca732
15485c43233
hex2b8769ed8

11684716248 has 64 divisors (see below), whose sum is σ = 29853457920. Its totient is φ = 3809462400.

The previous prime is 11684716229. The next prime is 11684716333. The reversal of 11684716248 is 84261748611.

It is a junction number, because it is equal to n+sod(n) for n = 11684716197 and 11684716206.

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 15 ways as a sum of consecutive naturals, for example, 2401338 + ... + 2406198.

It is an arithmetic number, because the mean of its divisors is an integer number (466460280).

Almost surely, 211684716248 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 11684716248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926728960).

11684716248 is an abundant number, since it is smaller than the sum of its proper divisors (18168741672).

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

11684716248 is a wasteful number, since it uses less digits than its factorization.

11684716248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7044 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 11684716248 in words is "eleven billion, six hundred eighty-four million, seven hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2131 4262 4861 6393 8524 9722 12786 14583 17048 19444 25572 29166 38888 51144 58332 100157 116664 200314 228467 300471 400628 456934 600942 685401 801256 913868 1201884 1370802 1827736 2403768 2741604 5483208 10358791 20717582 31076373 41435164 62152746 82870328 124305492 248610984 486863177 973726354 1460589531 1947452708 2921179062 3894905416 5842358124 11684716248