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11438058777312 = 253179876624031
BaseRepresentation
bin1010011001110010000101…
…1011100010101011100000
31111111110121222112020220010
42212130201123202223200
52444400121021333222
640154323251244520
72260241521305636
oct246344133425340
944443558466803
1011438058777312
11370a942a98a82
1213489328a9740
1364c7b18a9b6b
142b786818b356
1514c7e443780c
hexa67216e2ae0

11438058777312 has 48 divisors (see below), whose sum is σ = 30026578079232. Its totient is φ = 3812473714560.

The previous prime is 11438058777289. The next prime is 11438058777319. The reversal of 11438058777312 is 21377785083411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438058777319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585264 + ... + 5038767.

It is an arithmetic number, because the mean of its divisors is an integer number (625553709984).

Almost surely, 211438058777312 is an apocalyptic number.

11438058777312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11438058777312 is an abundant number, since it is smaller than the sum of its proper divisors (18588519301920).

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

11438058777312 is a wasteful number, since it uses less digits than its factorization.

11438058777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642031 (or 6642023 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 11438058777312 in words is "eleven trillion, four hundred thirty-eight billion, fifty-eight million, seven hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 17987 35974 53961 71948 107922 143896 215844 287792 431688 575584 863376 1726752 6624031 13248062 19872093 26496124 39744186 52992248 79488372 105984496 158976744 211968992 317953488 635906976 119146445597 238292891194 357439336791 476585782388 714878673582 953171564776 1429757347164 1906343129552 2859514694328 3812686259104 5719029388656 11438058777312