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5066602400 = 255237171169
BaseRepresentation
bin1001011011111111…
…00011011110100000
3111002002201001212202
410231333203132200
540334022234100
62154430512332
7236361260366
oct45577433640
914062631782
105066602400
11216aa68412
12b949656a8
136298aaab2
14360c7b636
151e9c107d5
hex12dfe37a0

5066602400 has 72 divisors (see below), whose sum is σ = 12703210380. Its totient is φ = 1971855360.

The previous prime is 5066602399. The next prime is 5066602423. The reversal of 5066602400 is 42066605.

It can be written as a sum of positive squares in 6 ways, for example, as 1830812944 + 3235789456 = 42788^2 + 56884^2 .

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 11 ways as a sum of consecutive naturals, for example, 55985 + ... + 115184.

Almost surely, 25066602400 is an apocalyptic number.

5066602400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5066602400 is an abundant number, since it is smaller than the sum of its proper divisors (7636607980).

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

5066602400 is a wasteful number, since it uses less digits than its factorization.

5066602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171226 (or 171213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5066602400 is about 71180.0702444160. The cubic root of 5066602400 is about 1717.5350485500.

The spelling of 5066602400 in words is "five billion, sixty-six million, six hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 171169 342338 684676 855845 1369352 1711690 2738704 3423380 4279225 5477408 6333253 6846760 8558450 12666506 13693520 17116900 25333012 27387040 31666265 34233800 50666024 63332530 68467600 101332048 126665060 136935200 158331325 202664096 253330120 316662650 506660240 633325300 1013320480 1266650600 2533301200 5066602400