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4149454464 = 27323601957
BaseRepresentation
bin1111011101010011…
…1010011010000000
3101201011221010102200
43313110322122000
531444230020324
61523425113200
7204553531611
oct36724723200
911634833380
104149454464
11183a293611
12979788800
1351188c1cc
142b5139c08
15194447ec9
hexf753a680

4149454464 has 48 divisors (see below), whose sum is σ = 11940490770. Its totient is φ = 1383151104.

The previous prime is 4149454411. The next prime is 4149454499. The reversal of 4149454464 is 4644549414.

It is a happy number.

4149454464 is a `hidden beast` number, since 4 + 1 + 49 + 4 + 544 + 64 = 666.

4149454464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3270924864 + 878529600 = 57192^2 + 29640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1799827 + ... + 1802130.

Almost surely, 24149454464 is an apocalyptic number.

It is an amenable number.

4149454464 is an abundant number, since it is smaller than the sum of its proper divisors (7791036306).

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

4149454464 is a wasteful number, since it uses less digits than its factorization.

4149454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601977 (or 3601962 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4149454464 is about 64416.2593139341. The cubic root of 4149454464 is about 1606.9301564113.

The spelling of 4149454464 in words is "four billion, one hundred forty-nine million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3601957 7203914 10805871 14407828 21611742 28815656 32417613 43223484 57631312 64835226 86446968 115262624 129670452 172893936 230525248 259340904 345787872 461050496 518681808 691575744 1037363616 1383151488 2074727232 4149454464