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642484650720 = 253511121682699
BaseRepresentation
bin10010101100101110001…
…00011100001011100000
32021102100212012221000110
421112113010130023200
541011302032310340
61211053043451320
764263240265323
oct11262704341340
92242325187013
10642484650720
11228526921490
12a4626986b40
13487806c68a3
142314c8287ba
1511aa4a4c680
hex959711c2e0

642484650720 has 96 divisors (see below), whose sum is σ = 2207810908800. Its totient is φ = 155753853440.

The previous prime is 642484650713. The next prime is 642484650739. The reversal of 642484650720 is 27056484246.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 642484650720.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60836070 + ... + 60846629.

It is an arithmetic number, because the mean of its divisors is an integer number (22998030300).

Almost surely, 2642484650720 is an apocalyptic number.

642484650720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642484650720 is an abundant number, since it is smaller than the sum of its proper divisors (1565326258080).

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

642484650720 is a wasteful number, since it uses less digits than its factorization.

642484650720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121682728 (or 121682720 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 642484650720 in words is "six hundred forty-two billion, four hundred eighty-four million, six hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 121682699 243365398 365048097 486730796 608413495 730096194 973461592 1216826990 1338509689 1460192388 1825240485 1946923184 2433653980 2677019378 2920384776 3650480970 3893846368 4015529067 4867307960 5354038756 5840769552 6692548445 7300961940 8031058134 9734615920 10708077512 11681539104 13385096890 14601923880 16062116268 19469231840 20077645335 21416155024 26770193780 29203847760 32124232536 40155290670 42832310048 53540387560 58407695520 64248465072 80310581340 107080775120 128496930144 160621162680 214161550240 321242325360 642484650720