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3775430656 = 215292137
BaseRepresentation
bin1110000100001000…
…1000000000000000
3100202010010202020001
43201002020000000
530213002240111
61422344325344
7162362426314
oct34102100000
910663122201
103775430656
11166814aa28
12894473854
1348224424a
1427b5b7b44
151716b61c1
hexe1088000

3775430656 has 96 divisors (see below), whose sum is σ = 7877175930. Its totient is φ = 1809317888.

The previous prime is 3775430651. The next prime is 3775430671. The reversal of 3775430656 is 6560345773.

It can be written as a sum of positive squares in 3 ways, for example, as 3391897600 + 383533056 = 58240^2 + 19584^2 .

It is not an unprimeable number, because it can be changed into a prime (3775430651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27557820 + ... + 27557956.

Almost surely, 23775430656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3775430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938587965).

3775430656 is an abundant number, since it is smaller than the sum of its proper divisors (4101745274).

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

3775430656 is an frugal number, since it uses more digits than its factorization.

3775430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 46.

The square root of 3775430656 is about 61444.5331661003. The cubic root of 3775430656 is about 1557.1202977914.

The spelling of 3775430656 in words is "three billion, seven hundred seventy-five million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 841 928 1024 1096 1682 1856 2048 2192 3364 3712 3973 4096 4384 6728 7424 7946 8192 8768 13456 14848 15892 16384 17536 26912 29696 31784 32768 35072 53824 59392 63568 70144 107648 115217 118784 127136 140288 215296 230434 237568 254272 280576 430592 460868 475136 508544 561152 861184 921736 950272 1017088 1122304 1722368 1843472 2034176 2244608 3444736 3686944 4068352 4489216 6889472 7373888 8136704 13778944 14747776 16273408 27557888 29495552 32546816 58991104 65093632 117982208 130187264 235964416 471928832 943857664 1887715328 3775430656