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5958070272 = 212327112099
BaseRepresentation
bin1011000110010000…
…01111000000000000
3120101020011022220100
411203020033000000
544200231222042
62423114042400
7300434522160
oct54310170000
916336138810
105958070272
1125881a2420
1211a3419400
1373c4a7a8b
144074165a0
1524d10424c
hex16320f000

5958070272 has 312 divisors, whose sum is σ = 21466972800. Its totient is φ = 1546813440.

The previous prime is 5958070247. The next prime is 5958070289. The reversal of 5958070272 is 2720708595.

It is a happy number.

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, 2837479 + ... + 2839577.

It is an arithmetic number, because the mean of its divisors is an integer number (68804400).

Almost surely, 25958070272 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 5958070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733486400).

5958070272 is an abundant number, since it is smaller than the sum of its proper divisors (15508902528).

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

5958070272 is a wasteful number, since it uses less digits than its factorization.

5958070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5958070272 is about 77188.5371800762. The cubic root of 5958070272 is about 1812.8778402266.

The spelling of 5958070272 in words is "five billion, nine hundred fifty-eight million, seventy thousand, two hundred seventy-two".