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7077044104 = 23131712293257
BaseRepresentation
bin1101001011101001…
…10001111110001000
3200021012201002102121
412211310301332020
5103443210402404
63130125341024
7340242611434
oct64564617610
920235632377
107077044104
113001896a89
121456107774
1388a26ca80
144b1c939c4
152b6486e54
hex1a5d31f88

7077044104 has 64 divisors (see below), whose sum is σ = 15147745200. Its totient is φ = 3070746624.

The previous prime is 7077044099. The next prime is 7077044111. The reversal of 7077044104 is 4014407707.

It can be written as a sum of positive squares in 8 ways, for example, as 6464481604 + 612562500 = 80402^2 + 24750^2 .

It is a super-2 number, since 2×70770441042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 7077044104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171244 + ... + 2174500.

Almost surely, 27077044104 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 7077044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573872600).

7077044104 is an abundant number, since it is smaller than the sum of its proper divisors (8070701096).

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

7077044104 is a wasteful number, since it uses less digits than its factorization.

7077044104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 7077044104 is about 84125.1692658030. The cubic root of 7077044104 is about 1919.9236898201.

The spelling of 7077044104 in words is "seven billion, seventy-seven million, forty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1229 1768 2458 3257 4916 6514 9832 13028 15977 20893 26056 31954 41786 42341 55369 63908 83572 84682 110738 127816 167144 169364 221476 271609 338728 442952 543218 719797 1086436 1439594 2172872 2879188 4002853 5758376 8005706 16011412 32022824 52037089 68048501 104074178 136097002 208148356 272194004 416296712 544388008 884630513 1769261026 3538522052 7077044104