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5347532672 = 27192339437
BaseRepresentation
bin1001111101011110…
…01101111110000000
3111210200022210202122
410332233031332000
541422432021142
62242344103412
7246342164156
oct47657157600
914720283678
105347532672
1122a45a7499
121052a64b68
13672b5ca21
1438a2c93d6
152147041d2
hex13ebcdf80

5347532672 has 64 divisors (see below), whose sum is σ = 11263309200. Its totient is φ = 2521903104.

The previous prime is 5347532647. The next prime is 5347532689. The reversal of 5347532672 is 2762357435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53475326722 = 57192211356214919168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561938 + ... + 571374.

Almost surely, 25347532672 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 5347532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631654600).

5347532672 is an abundant number, since it is smaller than the sum of its proper divisors (5915776528).

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

5347532672 is a wasteful number, since it uses less digits than its factorization.

5347532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9691 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 44.

The square root of 5347532672 is about 73126.8259395962. The cubic root of 5347532672 is about 1748.7100885792.

The spelling of 5347532672 in words is "five billion, three hundred forty-seven million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 233 304 466 608 932 1216 1864 2432 3728 4427 7456 8854 9437 14912 17708 18874 29824 35416 37748 70832 75496 141664 150992 179303 283328 301984 358606 566656 603968 717212 1207936 1434424 2198821 2868848 4397642 5737696 8795284 11475392 17590568 22950784 35181136 41777599 70362272 83555198 140724544 167110396 281449088 334220792 668441584 1336883168 2673766336 5347532672