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5780146752 = 263210034977
BaseRepresentation
bin1010110001000011…
…00000101001000000
3112220211100212201100
411120201200221000
543314204144002
62353320334400
7263144302542
oct53041405100
915824325640
105780146752
1124a6818896
121153914400
137116800a3
143cb93d692
1523c6ab11c
hex158860a40

5780146752 has 42 divisors (see below), whose sum is σ = 16567748678. Its totient is φ = 1926715392.

The previous prime is 5780146747. The next prime is 5780146777. The reversal of 5780146752 is 2576410875.

5780146752 is a `hidden beast` number, since 578 + 0 + 1 + 4 + 6 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5748065856 + 32080896 = 75816^2 + 5664^2 .

It is a super-2 number, since 2×57801467522 = 66820192949312299008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5780146698 and 5780146707.

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, 5016913 + ... + 5018064.

Almost surely, 25780146752 is an apocalyptic number.

It is an amenable number.

5780146752 is an abundant number, since it is smaller than the sum of its proper divisors (10787601926).

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

5780146752 is a wasteful number, since it uses less digits than its factorization.

5780146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034995 (or 10034982 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5780146752 is about 76027.2763684192. The cubic root of 5780146752 is about 1794.6494145940.

The spelling of 5780146752 in words is "five billion, seven hundred eighty million, one hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10034977 20069954 30104931 40139908 60209862 80279816 90314793 120419724 160559632 180629586 240839448 321119264 361259172 481678896 642238528 722518344 963357792 1445036688 1926715584 2890073376 5780146752