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5672205264 = 2431131733889
BaseRepresentation
bin1010100100001011…
…01111101111010000
3112122022020212211110
411102011233233100
543104041032024
62334503013320
7260363643405
oct52205575720
915568225743
105672205264
1124508a2850
12112373a240
136c51b899b
143bb4822ac
15232e88629
hex15216fbd0

5672205264 has 80 divisors (see below), whose sum is σ = 16036205760. Its totient is φ = 1713377280.

The previous prime is 5672205263. The next prime is 5672205277. The reversal of 5672205264 is 4625022765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672205263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150432 + ... + 184320.

It is an arithmetic number, because the mean of its divisors is an integer number (200452572).

Almost surely, 25672205264 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 5672205264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018102880).

5672205264 is an abundant number, since it is smaller than the sum of its proper divisors (10364000496).

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

5672205264 is a wasteful number, since it uses less digits than its factorization.

5672205264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34228 (or 34222 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 5672205264 is about 75314.0442679850. The cubic root of 5672205264 is about 1783.4077360598.

The spelling of 5672205264 in words is "five billion, six hundred seventy-two million, two hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 317 528 634 951 1268 1902 2536 3487 3804 5072 6974 7608 10461 13948 15216 20922 27896 33889 41844 55792 67778 83688 101667 135556 167376 203334 271112 372779 406668 542224 745558 813336 1118337 1491116 1626672 2236674 2982232 4473348 5964464 8946696 10742813 17893392 21485626 32228439 42971252 64456878 85942504 118170943 128913756 171885008 236341886 257827512 354512829 472683772 515655024 709025658 945367544 1418051316 1890735088 2836102632 5672205264