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643828225560 = 233513599688999
BaseRepresentation
bin10010101111001110010…
…01110001011000011000
32021112211111101121012120
421113213021301120120
541022030011204220
61211434241141240
764341443423202
oct11274711613030
92245744347176
10643828225560
11229056281113
12a494092a820
1348935b7a5a0
142323904d772
1511b32998a40
hex95e7271618

643828225560 has 128 divisors (see below), whose sum is σ = 2083536000000. Its totient is φ = 158215988736.

The previous prime is 643828225519. The next prime is 643828225589. The reversal of 643828225560 is 65522828346.

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 31 ways as a sum of consecutive naturals, for example, 589941 + ... + 1278939.

It is an arithmetic number, because the mean of its divisors is an integer number (16277625000).

Almost surely, 2643828225560 is an apocalyptic number.

643828225560 is a gapful number since it is divisible by the number (60) 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 643828225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041768000000).

643828225560 is an abundant number, since it is smaller than the sum of its proper divisors (1439707774440).

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

643828225560 is a wasteful number, since it uses less digits than its factorization.

643828225560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689625 (or 689621 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 643828225560 in words is "six hundred forty-three billion, eight hundred twenty-eight million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 599 780 1198 1560 1797 2396 2995 3594 4792 5990 7188 7787 8985 11980 14376 15574 17970 23361 23960 31148 35940 38935 46722 62296 71880 77870 93444 116805 155740 186888 233610 311480 467220 688999 934440 1377998 2066997 2755996 3444995 4133994 5511992 6889990 8267988 8956987 10334985 13779980 16535976 17913974 20669970 26870961 27559960 35827948 41339940 44784935 53741922 71655896 82679880 89569870 107483844 134354805 179139740 214967688 268709610 358279480 412710401 537419220 825420802 1074838440 1238131203 1650841604 2063552005 2476262406 3301683208 4127104010 4952524812 5365235213 6190656015 8254208020 9905049624 10730470426 12381312030 16095705639 16508416040 21460940852 24762624060 26826176065 32191411278 42921881704 49525248120 53652352130 64382822556 80478528195 107304704260 128765645112 160957056390 214609408520 321914112780 643828225560