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4972338504 = 2332721409393
BaseRepresentation
bin1001010000101111…
…11101110101001000
3110211112022222010100
410220113331311020
540140404313004
62141222245400
7234135115500
oct45027756510
913745288110
104972338504
112121834571
12b69286860
136131c5143
14352540a00
151e17e0739
hex1285fdd48

4972338504 has 72 divisors (see below), whose sum is σ = 15665414310. Its totient is φ = 1420667136.

The previous prime is 4972338491. The next prime is 4972338523. The reversal of 4972338504 is 4058332794.

4972338504 is a `hidden beast` number, since 4 + 97 + 23 + 38 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4409225604 + 563112900 = 66402^2 + 23730^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4972338504.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 701169 + ... + 708224.

Almost surely, 24972338504 is an apocalyptic number.

It is an amenable number.

4972338504 is an abundant number, since it is smaller than the sum of its proper divisors (10693075806).

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

4972338504 is a wasteful number, since it uses less digits than its factorization.

4972338504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409419 (or 1409405 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4972338504 is about 70514.8105294200. The cubic root of 4972338504 is about 1706.8167474287.

The spelling of 4972338504 in words is "four billion, nine hundred seventy-two million, three hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 1409393 2818786 4228179 5637572 8456358 9865751 11275144 12684537 16912716 19731502 25369074 29597253 33825432 39463004 50738148 59194506 69060257 78926008 88791759 101476296 118389012 138120514 177583518 207180771 236778024 276241028 355167036 414361542 552482056 621542313 710334072 828723084 1243084626 1657446168 2486169252 4972338504