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11782434368 = 263141144847
BaseRepresentation
bin10101111100100100…
…11010111001000000
31010102010201200102002
422332102122321000
5143112300344433
65225054243132
7564660016415
oct127622327100
933363650362
1011782434368
114aa6971371
122349ab64a8
13115a06a173
147dab8610c
1548e5e69e8
hex2be49ae40

11782434368 has 56 divisors (see below), whose sum is σ = 24723815424. Its totient is φ = 5562086400.

The previous prime is 11782434289. The next prime is 11782434373. The reversal of 11782434368 is 86343428711.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8921 + ... + 153767.

It is an arithmetic number, because the mean of its divisors is an integer number (441496704).

Almost surely, 211782434368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11782434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12361907712).

11782434368 is an abundant number, since it is smaller than the sum of its proper divisors (12941381056).

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

11782434368 is a wasteful number, since it uses less digits than its factorization.

11782434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144931 (or 144921 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The spelling of 11782434368 in words is "eleven billion, seven hundred eighty-two million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2542 2624 5084 10168 20336 40672 81344 144847 289694 579388 1158776 2317552 4490257 4635104 5938727 8980514 9270208 11877454 17961028 23754908 35922056 47509816 71844112 95019632 143688224 184100537 190039264 287376448 368201074 380078528 736402148 1472804296 2945608592 5891217184 11782434368