Search a number
-
+
11356901640 = 2332574506707
BaseRepresentation
bin10101001001110110…
…01001000100001000
31002022111000101020200
422210323021010020
5141224331323030
65114533452200
7551302033260
oct124473110410
932274011220
1011356901640
1148a8747327
12224b4a1060
1310bcb59056
1479a4567a0
1546708cd60
hex2a4ec9108

11356901640 has 96 divisors (see below), whose sum is σ = 42182786880. Its totient is φ = 2595862656.

The previous prime is 11356901603. The next prime is 11356901657. The reversal of 11356901640 is 4610965311.

11356901640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 6 + 9 + 0 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11356901595 and 11356901604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250834 + ... + 2255873.

It is an arithmetic number, because the mean of its divisors is an integer number (439404030).

Almost surely, 211356901640 is an apocalyptic number.

11356901640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11356901640 is an abundant number, since it is smaller than the sum of its proper divisors (30825885240).

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

11356901640 is a wasteful number, since it uses less digits than its factorization.

11356901640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506731 (or 4506724 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11356901640 in words is "eleven billion, three hundred fifty-six million, nine hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4506707 9013414 13520121 18026828 22533535 27040242 31546949 36053656 40560363 45067070 54080484 63093898 67600605 81120726 90134140 94640847 108160968 126187796 135201210 157734745 162241452 180268280 189281694 202801815 252375592 270402420 283922541 315469490 324482904 378563388 405603630 473204235 540804840 567845082 630938980 757126776 811207260 946408470 1135690164 1261877960 1419612705 1622414520 1892816940 2271380328 2839225410 3785633880 5678450820 11356901640