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642733700340 = 223513997657061
BaseRepresentation
bin10010101101001011110…
…10011111010011110100
32021110000012211221212110
421112211322133103310
541012304311402330
61211133501451020
764302353211444
oct11264572372364
92243005757773
10642733700340
11228644466116
12a4696270a70
13487c0195824
1423173938124
1511abb844db0
hex95a5e9f4f4

642733700340 has 48 divisors (see below), whose sum is σ = 1800940982400. Its totient is φ = 171273118080.

The previous prime is 642733700327. The next prime is 642733700341. The reversal of 642733700340 is 43007337246.

It is a super-2 number, since 2×6427337003402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642733700341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3744591 + ... + 3912470.

It is an arithmetic number, because the mean of its divisors is an integer number (37519603800).

Almost surely, 2642733700340 is an apocalyptic number.

642733700340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642733700340 is an abundant number, since it is smaller than the sum of its proper divisors (1158207282060).

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

642733700340 is a wasteful number, since it uses less digits than its factorization.

642733700340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658472 (or 7658470 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 39.

The spelling of 642733700340 in words is "six hundred forty-two billion, seven hundred thirty-three million, seven hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1399 2798 4197 5596 6995 8394 13990 16788 20985 27980 41970 83940 7657061 15314122 22971183 30628244 38285305 45942366 76570610 91884732 114855915 153141220 229711830 459423660 10712228339 21424456678 32136685017 42848913356 53561141695 64273370034 107122283390 128546740068 160683425085 214244566780 321366850170 642733700340