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11953977056 = 257416719427
BaseRepresentation
bin10110010001000001…
…10011011011100000
31010212002111221201222
423020200303123200
5143440204231211
65254103114212
7602142062030
oct131040633340
933762457658
1011953977056
11508478798a
122397442968
13118676c708
1481587b8c0
1549e6ce1db
hex2c88336e0

11953977056 has 96 divisors (see below), whose sum is σ = 27965129472. Its totient is φ = 4923325440.

The previous prime is 11953977047. The next prime is 11953977073. The reversal of 11953977056 is 65077935911.

It is a junction number, because it is equal to n+sod(n) for n = 11953976989 and 11953977007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605615 + ... + 625041.

It is an arithmetic number, because the mean of its divisors is an integer number (291303432).

Almost surely, 211953977056 is an apocalyptic number.

11953977056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982564736).

11953977056 is an abundant number, since it is smaller than the sum of its proper divisors (16011152416).

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

11953977056 is a wasteful number, since it uses less digits than its factorization.

11953977056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 53.

The spelling of 11953977056 in words is "eleven billion, nine hundred fifty-three million, nine hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 67 82 112 134 164 224 268 287 328 469 536 574 656 938 1072 1148 1312 1876 2144 2296 2747 3752 4592 5494 7504 9184 10988 15008 19229 19427 21976 38458 38854 43952 76916 77708 87904 135989 153832 155416 271978 307664 310832 543956 615328 621664 796507 1087912 1301609 1593014 2175824 2603218 3186028 4351648 5206436 5575549 6372056 9111263 10412872 11151098 12744112 18222526 20825744 22302196 25488224 36445052 41651488 44604392 53365969 72890104 89208784 106731938 145780208 178417568 213463876 291560416 373561783 426927752 747123566 853855504 1494247132 1707711008 2988494264 5976988528 11953977056