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4214507664 = 243113777011
BaseRepresentation
bin1111101100110100…
…0100100010010000
3101212201100011122110
43323031010202100
532112403221124
61534111305320
7206303503233
oct37315044220
911781304573
104214507664
111872a85a94
1299751b240
135221b8223
142bda3141a
15199ee8029
hexfb344890

4214507664 has 40 divisors (see below), whose sum is σ = 10983841632. Its totient is φ = 1392401920.

The previous prime is 4214507657. The next prime is 4214507669. The reversal of 4214507664 is 4667054124.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4214507669) 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, 383082 + ... + 393929.

Almost surely, 24214507664 is an apocalyptic number.

It is an amenable number.

4214507664 is an abundant number, since it is smaller than the sum of its proper divisors (6769333968).

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

4214507664 is a wasteful number, since it uses less digits than its factorization.

4214507664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777135 (or 777129 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4214507664 is about 64919.2395519233. The cubic root of 4214507664 is about 1615.2842159712.

The spelling of 4214507664 in words is "four billion, two hundred fourteen million, five hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 777011 1554022 2331033 3108044 4662066 6216088 9324132 12432176 18648264 37296528 87802243 175604486 263406729 351208972 526813458 702417944 1053626916 1404835888 2107253832 4214507664