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5373012800 = 26525363361
BaseRepresentation
bin1010000000100000…
…11010101101000000
3111212110021022221002
411000100122231000
542000442402200
62245054151132
7250101566231
oct50020325500
914773238832
105373012800
112307a20051
12105b4b24a8
1367821161c
1438d83d088
15216a88bd5
hex14041ab40

5373012800 has 84 divisors (see below), whose sum is σ = 13470634476. Its totient is φ = 2108620800.

The previous prime is 5373012791. The next prime is 5373012803. The reversal of 5373012800 is 82103735.

It can be written as a sum of positive squares in 6 ways, for example, as 10086976 + 5362925824 = 3176^2 + 73232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5373012803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53120 + ... + 116480.

Almost surely, 25373012800 is an apocalyptic number.

5373012800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5373012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735317238).

5373012800 is an abundant number, since it is smaller than the sum of its proper divisors (8097621676).

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

5373012800 is a wasteful number, since it uses less digits than its factorization.

5373012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63436 (or 63421 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5373012800 is about 73300.8376486927. The cubic root of 5373012800 is about 1751.4831290841.

The spelling of 5373012800 in words is "five billion, three hundred seventy-three million, twelve thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 160 200 212 265 320 400 424 530 800 848 1060 1325 1600 1696 2120 2650 3392 4240 5300 8480 10600 16960 21200 42400 63361 84800 126722 253444 316805 506888 633610 1013776 1267220 1584025 2027552 2534440 3168050 3358133 4055104 5068880 6336100 6716266 10137760 12672200 13432532 16790665 20275520 25344400 26865064 33581330 50688800 53730128 67162660 83953325 101377600 107460256 134325320 167906650 214920512 268650640 335813300 537301280 671626600 1074602560 1343253200 2686506400 5373012800