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11364512640 = 273513455309
BaseRepresentation
bin10101001010110000…
…01011001110000000
31002100000100001120120
422211120023032000
5141233303401030
65115404540240
7551423522625
oct124530131600
932300301516
1011364512640
114901a75608
122251b51680
1310c15c23c0
1479b47834c
15467a93010
hex2a560b380

11364512640 has 128 divisors (see below), whose sum is σ = 39010960800. Its totient is φ = 2797412352.

The previous prime is 11364512609. The next prime is 11364512659. The reversal of 11364512640 is 4621546311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 202695 + ... + 252614.

Almost surely, 211364512640 is an apocalyptic number.

11364512640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11364512640 is an abundant number, since it is smaller than the sum of its proper divisors (27646448160).

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

11364512640 is a wasteful number, since it uses less digits than its factorization.

11364512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455344 (or 455332 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11364512640 in words is "eleven billion, three hundred sixty-four million, five hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 455309 910618 1365927 1821236 2276545 2731854 3642472 4553090 5463708 5919017 6829635 7284944 9106180 10927416 11838034 13659270 14569888 17757051 18212360 21854832 23676068 27318540 29139776 29595085 35514102 36424720 43709664 47352136 54637080 58279552 59190170 71028204 72849440 87419328 88785255 94704272 109274160 118380340 142056408 145698880 174838656 177570510 189408544 218548320 236760680 284112816 291397760 355141020 378817088 437096640 473521360 568225632 710282040 757634176 874193280 947042720 1136451264 1420564080 1894085440 2272902528 2841128160 3788170880 5682256320 11364512640