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11451585376 = 257211663937
BaseRepresentation
bin10101010101001000…
…10101001101100000
31002120002011210220201
422222210111031200
5141423101213001
65132155114544
7553531604200
oct125244251540
932502153821
1011451585376
114947137650
122277142a54
13110665ab2a
147a8c62400
15470542501
hex2aa915360

11451585376 has 72 divisors (see below), whose sum is σ = 28610416296. Its totient is φ = 4461649920.

The previous prime is 11451585331. The next prime is 11451585419. The reversal of 11451585376 is 67358515411.

It is a super-2 number, since 2×114515853762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314721 + ... + 349216.

It is an arithmetic number, because the mean of its divisors is an integer number (397366893).

Almost surely, 211451585376 is an apocalyptic number.

11451585376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11451585376 is an abundant number, since it is smaller than the sum of its proper divisors (17158830920).

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

11451585376 is a wasteful number, since it uses less digits than its factorization.

11451585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663972 (or 663957 counting only the distinct ones).

The product of its digits is 504000, while the sum is 46.

The spelling of 11451585376 in words is "eleven billion, four hundred fifty-one million, five hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 663937 1327874 2655748 4647559 5311496 7303307 9295118 10622992 14606614 18590236 21245984 29213228 32532913 37180472 51123149 58426456 65065826 74360944 102246298 116852912 130131652 148721888 204492596 233705824 260263304 357862043 408985192 520526608 715724086 817970384 1041053216 1431448172 1635940768 2862896344 5725792688 11451585376