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5434882056 = 2333193142719
BaseRepresentation
bin1010000111111000…
…11011100000001000
3112000202200121121000
411003330123200020
542112312211211
62255144215000
7251452510122
oct50374334010
915022617530
105434882056
11233993836a
12107816a460
13687c94356
14397b46212
1521c20a656
hex143f1b808

5434882056 has 128 divisors (see below), whose sum is σ = 16404480000. Its totient is φ = 1660875840.

The previous prime is 5434882049. The next prime is 5434882067. The reversal of 5434882056 is 6502884345.

5434882056 is a `hidden beast` number, since 5 + 434 + 8 + 8 + 205 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105865 + ... + 148583.

It is an arithmetic number, because the mean of its divisors is an integer number (128160000).

Almost surely, 25434882056 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 5434882056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202240000).

5434882056 is an abundant number, since it is smaller than the sum of its proper divisors (10969597944).

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

5434882056 is a wasteful number, since it uses less digits than its factorization.

5434882056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42784 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5434882056 is about 73721.6525587971. The cubic root of 5434882056 is about 1758.1801583590.

The spelling of 5434882056 in words is "five billion, four hundred thirty-four million, eight hundred eighty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15903 21204 31806 42408 42719 63612 85438 127224 128157 170876 256314 341752 384471 512628 768942 811661 1025256 1153413 1324289 1537884 1623322 2306826 2434983 2648578 3075768 3246644 3972867 4613652 4869966 5297156 6493288 7304949 7945734 9227304 9739932 10594312 11918601 14609898 15891468 19479864 21914847 23837202 25161491 29219796 31782936 35755803 43829694 47674404 50322982 58439592 71511606 75484473 87659388 95348808 100645964 143023212 150968946 175318776 201291928 226453419 286046424 301937892 452906838 603875784 679360257 905813676 1358720514 1811627352 2717441028 5434882056