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646424442240 = 2735336679397
BaseRepresentation
bin10010110100000011110…
…01100011010110000000
32021210112102122001221220
421122001321203112000
541042334124122430
61212544023115040
764463000046063
oct11320171432600
92253472561856
10646424442240
1122a168822135
12a53462a2a80
1348c5a9c7485
1423403b888da
1511c3587d110
hex9681e63580

646424442240 has 64 divisors (see below), whose sum is σ = 2060477915760. Its totient is φ = 172379850752.

The previous prime is 646424442187. The next prime is 646424442241. The reversal of 646424442240 is 42244424646.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 646424442192 and 646424442201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646424442241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168337779 + ... + 168341618.

Almost surely, 2646424442240 is an apocalyptic number.

646424442240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

646424442240 is an abundant number, since it is smaller than the sum of its proper divisors (1414053473520).

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

646424442240 is a wasteful number, since it uses less digits than its factorization.

646424442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336679419 (or 336679407 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 646424442240 its reverse (42244424646), we get a palindrome (688668866886).

The spelling of 646424442240 in words is "six hundred forty-six billion, four hundred twenty-four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 336679397 673358794 1010038191 1346717588 1683396985 2020076382 2693435176 3366793970 4040152764 5050190955 5386870352 6733587940 8080305528 10100381910 10773740704 13467175880 16160611056 20200763820 21547481408 26934351760 32321222112 40401527640 43094962816 53868703520 64642444224 80803055280 107737407040 129284888448 161606110560 215474814080 323212221120 646424442240