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230464504066752 = 2632537549282759
BaseRepresentation
bin110100011001101100110010…
…111001011111001011000000
31010020000012011112200021211200
4310121230302321133023000
5220201412301020114002
62134053533114541200
766354340153311504
oct6431546271371300
91106005145607750
10230464504066752
11674844a139187a
1221a21694137800
139b7992b9651a7
1440ca781cb0304
151b99d9d607b1c
hexd19b32e5f2c0

230464504066752 has 84 divisors (see below), whose sum is σ = 673048755185040. Its totient is φ = 75372039055872.

The previous prime is 230464504066751. The next prime is 230464504066799. The reversal of 230464504066752 is 257660405464032.

230464504066752 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 6 + 4 + 504 + 0 + 66 + 75 + 2 = 666.

230464504066752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304645040667522 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230464504066751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3774610852 + ... + 3774671907.

Almost surely, 2230464504066752 is an apocalyptic number.

It is an amenable number.

230464504066752 is an abundant number, since it is smaller than the sum of its proper divisors (442584251118288).

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

230464504066752 is a wasteful number, since it uses less digits than its factorization.

230464504066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549282830 (or 7549282817 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 230464504066752 in words is "two hundred thirty trillion, four hundred sixty-four billion, five hundred four million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 7549282759 15098565518 22647848277 30197131036 45295696554 60394262072 67943544831 90591393108 120788524144 135887089662 181182786216 241577048288 271774179324 362365572432 400111986227 483154096576 543548358648 724731144864 800223972454 1087096717296 1200335958681 1449462289728 1600447944908 2174193434592 2400671917362 3200895889816 3601007876043 4348386869184 4801343834724 6401791779632 7202015752086 9602687669448 12803583559264 14404031504172 19205375338896 25607167118528 28808063008344 38410750677792 57616126016688 76821501355584 115232252033376 230464504066752