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5097561408 = 263215756369
BaseRepresentation
bin1001011111101011…
…01001110101000000
3111011020221221122200
410233311221311000
540414433431113
62201454233200
7240215362032
oct45765516500
914136857580
105097561408
112186493375
12ba31b5800
1363312a434
14365019c52
151ec7c8873
hex12fd69d40

5097561408 has 84 divisors (see below), whose sum is σ = 14704565460. Its totient is φ = 1688334336.

The previous prime is 5097561397. The next prime is 5097561409. The reversal of 5097561408 is 8041657905.

It can be written as a sum of positive squares in 2 ways, for example, as 826677504 + 4270883904 = 28752^2 + 65352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5097561409) 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 11 ways as a sum of consecutive naturals, for example, 62248 + ... + 118616.

Almost surely, 25097561408 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 5097561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352282730).

5097561408 is an abundant number, since it is smaller than the sum of its proper divisors (9607004052).

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

5097561408 is a wasteful number, since it uses less digits than its factorization.

5097561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56544 (or 56531 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5097561408 is about 71397.2086849339. The cubic root of 5097561408 is about 1721.0262273193.

The spelling of 5097561408 in words is "five billion, ninety-seven million, five hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 22608 30144 45216 56369 90432 112738 169107 225476 338214 450952 507321 676428 901904 1014642 1352856 1803808 2029284 2705712 3607616 4058568 5411424 8117136 8849933 10822848 16234272 17699866 26549799 32468544 35399732 53099598 70799464 79649397 106199196 141598928 159298794 212398392 283197856 318597588 424796784 566395712 637195176 849593568 1274390352 1699187136 2548780704 5097561408