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5672970720 = 25325172961131
BaseRepresentation
bin1010100100010001…
…01010100111100000
3112122100200202211200
411102020222213200
543104240030340
62334531241200
7260403312144
oct52210524740
915570622750
105672970720
11245127595a
121123a49200
136c53c6211
143bb601224
1523308a330
hex15222a9e0

5672970720 has 576 divisors, whose sum is σ = 21716735040. Its totient is φ = 1341849600.

The previous prime is 5672970707. The next prime is 5672970731. The reversal of 5672970720 is 270792765.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43305055 + ... + 43305185.

It is an arithmetic number, because the mean of its divisors is an integer number (37702665).

Almost surely, 25672970720 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 5672970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858367520).

5672970720 is an abundant number, since it is smaller than the sum of its proper divisors (16043764320).

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

5672970720 is a wasteful number, since it uses less digits than its factorization.

5672970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 5672970720 is about 75319.1258579121. The cubic root of 5672970720 is about 1783.4879552271.

It can be divided in two parts, 56729 and 70720, that added together give a square (127449 = 3572).

The spelling of 5672970720 in words is "five billion, six hundred seventy-two million, nine hundred seventy thousand, seven hundred twenty".