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11663915640 = 23351353141073
BaseRepresentation
bin10101101110011100…
…10011101001111000
31010002212201022021120
422313032103221320
5142341430300030
65205222105240
7562020434646
oct126716235170
933085638246
1011663915640
114a45a81503
12231627b220
13113b641540
147c9134196
15483ed5010
hex2b7393a78

11663915640 has 128 divisors (see below), whose sum is σ = 38394699840. Its totient is φ = 2816925696.

The previous prime is 11663915629. The next prime is 11663915671. The reversal of 11663915640 is 4651936611.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11663915592 and 11663915601.

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, 12144 + ... + 153216.

Almost surely, 211663915640 is an apocalyptic number.

11663915640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11663915640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19197349920).

11663915640 is an abundant number, since it is smaller than the sum of its proper divisors (26730784200).

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

11663915640 is a wasteful number, since it uses less digits than its factorization.

11663915640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141153 (or 141149 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 11663915640 in words is "eleven billion, six hundred sixty-three million, nine hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 3180 3445 4134 5512 6360 6890 8268 10335 13780 16536 20670 27560 41340 82680 141073 282146 423219 564292 705365 846438 1128584 1410730 1692876 1833949 2116095 2821460 3385752 3667898 4232190 5501847 5642920 7335796 7476869 8464380 9169745 11003694 14671592 14953738 16928760 18339490 22007388 22430607 27509235 29907476 36678980 37384345 44014776 44861214 55018470 59814952 73357960 74768690 89722428 97199297 110036940 112153035 149537380 179444856 194398594 220073880 224306070 291597891 299074760 388797188 448612140 485996485 583195782 777594376 897224280 971992970 1166391564 1457989455 1943985940 2332783128 2915978910 3887971880 5831957820 11663915640