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640422240768 = 2932117892
BaseRepresentation
bin10010101000111000010…
…00111110001000000000
32021020001010102122102200
421110130020332020000
540443041043201033
61210112251113200
764161155141322
oct11243410761000
92236033378380
10640422240768
11227668728352
12a4150142800
134851233a67b
1422dd4965612
15119d395d013
hex951c23e200

640422240768 has 90 divisors (see below), whose sum is σ = 1848458743989. Its totient is φ = 213455972352.

The previous prime is 640422240763. The next prime is 640422240803. The reversal of 640422240768 is 867042224046.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 426712045824 + 213710194944 = 653232^2 + 462288^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=565872.

It is a super-2 number, since 2×6404222407682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (640422240763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54317818 + ... + 54329606.

Almost surely, 2640422240768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640422240768

640422240768 is an abundant number, since it is smaller than the sum of its proper divisors (1208036503221).

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

640422240768 is an frugal number, since it uses more digits than its factorization.

640422240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23602 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 640422240768 in words is "six hundred forty billion, four hundred twenty-two million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11789 23578 35367 47156 70734 94312 106101 141468 188624 212202 282936 377248 424404 565872 754496 848808 1131744 1508992 1697616 2263488 3017984 3395232 4526976 6035968 6790464 9053952 13580928 18107904 27161856 54323712 138980521 277961042 416941563 555922084 833883126 1111844168 1250824689 1667766252 2223688336 2501649378 3335532504 4447376672 5003298756 6671065008 8894753344 10006597512 13342130016 17789506688 20013195024 26684260032 35579013376 40026390048 53368520064 71158026752 80052780096 106737040128 160105560192 213474080256 320211120384 640422240768