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5456075072 = 26757721107
BaseRepresentation
bin1010001010011010…
…10001100101000000
3112002020120022221112
411011031101211000
542133223400242
62301222342452
7252130605260
oct50515214500
915066508845
105456075072
11234a8a2a58
12108328aa28
1368c4a47b6
1439a8a17a0
1521dee4c82
hex145351940

5456075072 has 56 divisors (see below), whose sum is σ = 12395630784. Its totient is φ = 2334154752.

The previous prime is 5456075059. The next prime is 5456075077. The reversal of 5456075072 is 2705706545.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456075077) 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, 247943 + ... + 269049.

Almost surely, 25456075072 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 5456075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197815392).

5456075072 is an abundant number, since it is smaller than the sum of its proper divisors (6939555712).

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

5456075072 is a wasteful number, since it uses less digits than its factorization.

5456075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21703 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The square root of 5456075072 is about 73865.2494208203. The cubic root of 5456075072 is about 1760.4625024174.

The spelling of 5456075072 in words is "five billion, four hundred fifty-six million, seventy-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 577 1154 2308 4039 4616 8078 9232 16156 18464 21107 32312 36928 42214 64624 84428 129248 147749 168856 258496 295498 337712 590996 675424 1181992 1350848 2363984 4727968 9455936 12178739 24357478 48714956 85251173 97429912 170502346 194859824 341004692 389719648 682009384 779439296 1364018768 2728037536 5456075072