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4564688640 = 28351188721
BaseRepresentation
bin1000100000001001…
…11001111100000000
3102210010021012122020
410100010321330000
533322030014030
62032541041440
7221055133101
oct42004717400
912703235566
104564688640
111a32714156
12a74856280
135799058c5
143143483a8
151bab1a510
hex110139f00

4564688640 has 72 divisors (see below), whose sum is σ = 14578486608. Its totient is φ = 1217249280.

The previous prime is 4564688633. The next prime is 4564688641. The reversal of 4564688640 is 468864654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564688641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590521 + ... + 598200.

Almost surely, 24564688640 is an apocalyptic number.

4564688640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4564688640 is an abundant number, since it is smaller than the sum of its proper divisors (10013797968).

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

4564688640 is a wasteful number, since it uses less digits than its factorization.

4564688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188745 (or 1188731 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The square root of 4564688640 is about 67562.4795282115. The cubic root of 4564688640 is about 1658.8370235220.

The spelling of 4564688640 in words is "four billion, five hundred sixty-four million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1188721 2377442 3566163 4754884 5943605 7132326 9509768 11887210 14264652 17830815 19019536 23774420 28529304 35661630 38039072 47548840 57058608 71323260 76078144 95097680 114117216 142646520 152156288 190195360 228234432 285293040 304312576 380390720 456468864 570586080 760781440 912937728 1141172160 1521562880 2282344320 4564688640