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11115561006 = 23211474612591
BaseRepresentation
bin10100101101000101…
…00000000000101110
31001200122220000010200
422112202200000232
5140231040423011
65034553014330
7542311465254
oct122642400056
931618800120
1011115561006
114794498560
1221a26b43a6
131081b58c44
147763925d4
15450cb9856
hex2968a002e

11115561006 has 96 divisors (see below), whose sum is σ = 26900729856. Its totient is φ = 3288264000.

The previous prime is 11115560977. The next prime is 11115561031. The reversal of 11115561006 is 60016551111.

11115561006 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 556 + 100 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4288771 + ... + 4291361.

It is an arithmetic number, because the mean of its divisors is an integer number (280215936).

Almost surely, 211115561006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11115561006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450364928).

11115561006 is an abundant number, since it is smaller than the sum of its proper divisors (15785168850).

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

11115561006 is a wasteful number, since it uses less digits than its factorization.

11115561006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11115561006 in words is "eleven billion, one hundred fifteen million, five hundred sixty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 461 517 846 922 1034 1383 1551 2591 2766 3102 4149 4653 5071 5182 7773 8298 9306 10142 15213 15546 21667 23319 28501 30426 43334 45639 46638 57002 65001 85503 91278 121777 130002 171006 195003 238337 243554 256509 365331 390006 476674 513018 715011 730662 1095993 1194451 1339547 1430022 2145033 2191986 2388902 2679094 3583353 4018641 4290066 7166706 8037282 10750059 12055923 13138961 21500118 24111846 26277922 39416883 56139197 78833766 112278394 118250649 168417591 236501298 336835182 505252773 617531167 1010505546 1235062334 1852593501 3705187002 5557780503 11115561006