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76053034044 = 223213379428777
BaseRepresentation
bin100011011010100011…
…1010011010000111100
321021022021012102120200
41012311013103100330
52221224034042134
654534400243500
75331444060141
oct1066507232074
9237267172520
1076053034044
112a287a56149
12128a6010590
1372304c17c0
1439768ac3c8
151ea1c22499
hex11b51d343c

76053034044 has 72 divisors (see below), whose sum is σ = 207580005360. Its totient is φ = 23339135232.

The previous prime is 76053034021. The next prime is 76053034061. The reversal of 76053034044 is 44043035067.

It is a happy number.

76053034044 is a `hidden beast` number, since 7 + 605 + 3 + 0 + 3 + 4 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37017 + ... + 391760.

It is an arithmetic number, because the mean of its divisors is an integer number (2883055630).

Almost surely, 276053034044 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 76053034044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790002680).

76053034044 is an abundant number, since it is smaller than the sum of its proper divisors (131526971316).

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

76053034044 is a wasteful number, since it uses less digits than its factorization.

76053034044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429179 (or 429174 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 76053034044 in words is "seventy-six billion, fifty-three million, thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 379 468 758 1137 1516 2274 3411 4548 4927 6822 9854 13644 14781 19708 29562 44343 59124 88686 177372 428777 857554 1286331 1715108 2572662 3858993 5145324 5574101 7717986 11148202 15435972 16722303 22296404 33444606 50166909 66889212 100333818 162506483 200667636 325012966 487519449 650025932 975038898 1462558347 1950077796 2112584279 2925116694 4225168558 5850233388 6337752837 8450337116 12675505674 19013258511 25351011348 38026517022 76053034044