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11357714745 = 32513316110267
BaseRepresentation
bin10101001001111100…
…01111100100111001
31002022112112200121200
422210332033210321
5141230033332440
65115003124413
7551311660656
oct124476174471
932275480550
1011357714745
1148a9152213
12224b813709
1310c0082190
1479a5c8c2d
1546719dc30
hex2a4f8f939

11357714745 has 96 divisors (see below), whose sum is σ = 22245909504. Its totient is φ = 5321894400.

The previous prime is 11357714717. The next prime is 11357714783. The reversal of 11357714745 is 54741775311.

11357714745 is a `hidden beast` number, since 1 + 1 + 3 + 577 + 1 + 4 + 74 + 5 = 666.

It is not a de Polignac number, because 11357714745 - 26 = 11357714681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11357714745.

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 95 ways as a sum of consecutive naturals, for example, 1101102 + ... + 1111368.

It is an arithmetic number, because the mean of its divisors is an integer number (231728224).

Almost surely, 211357714745 is an apocalyptic number.

11357714745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11357714745 is a deficient number, since it is larger than the sum of its proper divisors (10888194759).

11357714745 is a wasteful number, since it uses less digits than its factorization.

11357714745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10380 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The spelling of 11357714745 in words is "eleven billion, three hundred fifty-seven million, seven hundred fourteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 31 39 45 61 65 93 117 155 183 195 279 305 403 465 549 585 793 915 1209 1395 1891 2015 2379 2745 3627 3965 5673 6045 7137 9455 10267 11895 17019 18135 24583 28365 30801 35685 51335 73749 85095 92403 122915 133471 154005 221247 318277 368745 400413 462015 626287 667355 954831 1106235 1201239 1591385 1878861 2002065 2864493 3131435 4137601 4774155 5636583 6006195 8141731 9394305 12412803 14322465 19414897 20688005 24425193 28182915 37238409 40708655 58244691 62064015 73275579 97074485 122125965 174734073 186192045 252393661 291223455 366377895 757180983 873670365 1261968305 2271542949 3785904915 11357714745