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640707468840 = 23325421872
BaseRepresentation
bin10010101001011010010…
…01000001111000101000
32021020210000010201210100
421110231021001320220
540444132103000330
61210200440345400
764201220425125
oct11245511017050
92236700121710
10640707468840
112277a473242a
12a420b775260
134855946588a
14230207b174c
15119eda00060
hex952d241e28

640707468840 has 72 divisors (see below), whose sum is σ = 2082348633690. Its totient is φ = 170851275072.

The previous prime is 640707468811. The next prime is 640707468883. The reversal of 640707468840 is 48864707046.

It can be written as a sum of positive squares in only one way, i.e., 576636721956 + 64070746884 = 759366^2 + 253122^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15166227 + ... + 15208413.

Almost surely, 2640707468840 is an apocalyptic number.

640707468840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640707468840 is an abundant number, since it is smaller than the sum of its proper divisors (1441641164850).

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

640707468840 is an frugal number, since it uses more digits than its factorization.

640707468840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84391 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 640707468840 in words is "six hundred forty billion, seven hundred seven million, four hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 42187 84374 126561 168748 210935 253122 337496 379683 421870 506244 632805 759366 843740 1012488 1265610 1518732 1687480 1898415 2531220 3037464 3796830 5062440 7593660 15187320 1779742969 3559485938 5339228907 7118971876 8898714845 10678457814 14237943752 16017686721 17797429690 21356915628 26696144535 32035373442 35594859380 42713831256 53392289070 64070746884 71189718760 80088433605 106784578140 128141493768 160176867210 213569156280 320353734420 640707468840