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5421640400 = 2452119712703
BaseRepresentation
bin1010000110010011…
…11010101011010000
3111222211202212110022
411003021322223100
542100414443100
62253552323012
7251232116531
oct50311725320
914884685408
105421640400
112332413750
121073843468
13685309157
1439609a688
1521ae91e85
hex14327aad0

5421640400 has 120 divisors (see below), whose sum is σ = 14357247744. Its totient is φ = 1951027200.

The previous prime is 5421640381. The next prime is 5421640409. The reversal of 5421640400 is 40461245.

It is a self number, because there is not a number n which added to its sum of digits gives 5421640400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5421640409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420449 + ... + 433151.

Almost surely, 25421640400 is an apocalyptic number.

5421640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5421640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178623872).

5421640400 is an abundant number, since it is smaller than the sum of its proper divisors (8935607344).

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

5421640400 is a wasteful number, since it uses less digits than its factorization.

5421640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5421640400 is about 73631.7893304244. The cubic root of 5421640400 is about 1756.7511086362.

The spelling of 5421640400 in words is "five billion, four hundred twenty-one million, six hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 176 194 200 220 275 388 400 440 485 550 776 880 970 1067 1100 1552 1940 2134 2200 2425 3880 4268 4400 4850 5335 7760 8536 9700 10670 12703 17072 19400 21340 25406 26675 38800 42680 50812 53350 63515 85360 101624 106700 127030 139733 203248 213400 254060 279466 317575 426800 508120 558932 635150 698665 1016240 1117864 1232191 1270300 1397330 2235728 2464382 2540600 2794660 3493325 4928764 5081200 5589320 6160955 6986650 9857528 11178640 12321910 13554101 13973300 19715056 24643820 27108202 27946600 30804775 49287640 54216404 55893200 61609550 67770505 98575280 108432808 123219100 135541010 216865616 246438200 271082020 338852525 492876400 542164040 677705050 1084328080 1355410100 2710820200 5421640400