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1076112058944 = 263132314197269
BaseRepresentation
bin11111010100011010100…
…01101110101001000000
310210212122002200122000010
433222031101232221000
5120112334141341234
62142205320024520
7140514026402346
oct17521521565100
93725562618003
101076112058944
1138541622634a
12154683902140
137a627a85500
143a126abb996
151ced37476e9
hexfa8d46ea40

1076112058944 has 672 divisors, whose sum is σ = 3306008079360. Its totient is φ = 308242022400.

The previous prime is 1076112058829. The next prime is 1076112058949. The reversal of 1076112058944 is 4498502116701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1076112058893 and 1076112058902.

It is not an unprimeable number, because it can be changed into a prime (1076112058949) 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 95 ways as a sum of consecutive naturals, for example, 4000416442 + ... + 4000416710.

It is an arithmetic number, because the mean of its divisors is an integer number (4919654880).

Almost surely, 21076112058944 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 1076112058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653004039680).

1076112058944 is an abundant number, since it is smaller than the sum of its proper divisors (2229896020416).

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

1076112058944 is a wasteful number, since it uses less digits than its factorization.

1076112058944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1076112058944 in words is "one trillion, seventy-six billion, one hundred twelve million, fifty-eight thousand, nine hundred forty-four".