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11086031683296 = 253361261209449
BaseRepresentation
bin1010000101010010101011…
…1110101111111011100000
31110020210222121110000022000
42201110222332233323200
52423113143102331141
635324504101044000
72222640125342403
oct241245276577340
943223877400260
1011086031683296
113594617966a19
1212b06696b6600
13625540068b2b
142a47d1409d3a
1514358e46d5b6
hexa152afafee0

11086031683296 has 96 divisors (see below), whose sum is σ = 32334941268000. Its totient is φ = 3695265930240.

The previous prime is 11086031683291. The next prime is 11086031683301. The reversal of 11086031683296 is 69238613068011.

11086031683296 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 603 + 1 + 6 + 8 + 3 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11086031683291) and next prime (11086031683301).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11086031683291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52824780 + ... + 53034228.

It is an arithmetic number, because the mean of its divisors is an integer number (336822304875).

Almost surely, 211086031683296 is an apocalyptic number.

11086031683296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11086031683296 is an abundant number, since it is smaller than the sum of its proper divisors (21248909584704).

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

11086031683296 is a wasteful number, since it uses less digits than its factorization.

11086031683296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270729 (or 270715 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11086031683296 in words is "eleven trillion, eighty-six billion, thirty-one million, six hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 61261 122522 183783 209449 245044 367566 418898 490088 551349 628347 735132 837796 980176 1102698 1256694 1470264 1654047 1675592 1885041 1960352 2205396 2513388 2940528 3308094 3351184 3770082 4410792 5026776 5655123 5881056 6616188 6702368 7540164 8821584 10053552 11310246 13232376 15080328 17643168 20107104 22620492 26464752 30160656 45240984 52929504 60321312 90481968 180963936 12831055189 25662110378 38493165567 51324220756 76986331134 102648441512 115479496701 153972662268 205296883024 230958993402 307945324536 346438490103 410593766048 461917986804 615890649072 692876980206 923835973608 1231781298144 1385753960412 1847671947216 2771507920824 3695343894432 5543015841648 11086031683296