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248768720964 = 22332303414083
BaseRepresentation
bin1110011110101111000…
…1010111000001000100
3212210010010020101211000
43213223301113001010
513033434243032324
6310141025013300
723654502144651
oct3475361270104
9783103211730
10248768720964
1196558504075
1240268184230
131a5c6c6550a
14c07d09cc28
15670eba09c9
hex39ebc57044

248768720964 has 24 divisors (see below), whose sum is σ = 644955943520. Its totient is φ = 82922906952.

The previous prime is 248768720947. The next prime is 248768720969. The reversal of 248768720964 is 469027867842.

248768720964 is a `hidden beast` number, since 2 + 487 + 68 + 7 + 2 + 0 + 96 + 4 = 666.

248768720964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248768720969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1151706934 + ... + 1151707149.

Almost surely, 2248768720964 is an apocalyptic number.

It is an amenable number.

248768720964 is an abundant number, since it is smaller than the sum of its proper divisors (396187222556).

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

248768720964 is a wasteful number, since it uses less digits than its factorization.

248768720964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303414096 (or 2303414088 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 248768720964 in words is "two hundred forty-eight billion, seven hundred sixty-eight million, seven hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2303414083 4606828166 6910242249 9213656332 13820484498 20730726747 27640968996 41461453494 62192180241 82922906988 124384360482 248768720964