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11741550240 = 253573494509
BaseRepresentation
bin10101110111101100…
…11101011010100000
31010022021210112221010
422323312131122200
5143021314101430
65221034100520
7563652346620
oct127366353240
933267715833
1011741550240
114a85887532
12233827a740
131151754084
147d5582880
1548ac1ccb0
hex2bbd9d6a0

11741550240 has 96 divisors (see below), whose sum is σ = 42269592960. Its totient is φ = 2683782144.

The previous prime is 11741550229. The next prime is 11741550241. The reversal of 11741550240 is 4205514711.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 11741550198 and 11741550207.

It is not an unprimeable number, because it can be changed into a prime (11741550241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1743895 + ... + 1750614.

It is an arithmetic number, because the mean of its divisors is an integer number (440308260).

Almost surely, 211741550240 is an apocalyptic number.

11741550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11741550240 is an abundant number, since it is smaller than the sum of its proper divisors (30528042720).

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

11741550240 is a wasteful number, since it uses less digits than its factorization.

11741550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494534 (or 3494526 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 11741550240 in words is "eleven billion, seven hundred forty-one million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3494509 6989018 10483527 13978036 17472545 20967054 24461563 27956072 34945090 41934108 48923126 52417635 55912144 69890180 73384689 83868216 97846252 104835270 111824288 122307815 139780360 146769378 167736432 195692504 209670540 244615630 279560720 293538756 335472864 366923445 391385008 419341080 489231260 559121440 587077512 733846890 782770016 838682160 978462520 1174155024 1467693780 1677364320 1956925040 2348310048 2935387560 3913850080 5870775120 11741550240