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30434875767968 = 257219409997301
BaseRepresentation
bin1101110101110001010111…
…11101010111110010100000
310222202112201211011201002212
412322320223331113302200
512442121111144033333
6144421331112101252
76260563410415100
oct672705375276240
9128675654151085
1030434875767968
1197743a3a32091
1234b6596394828
1313c9cc5324c89
147730ad35b200
1537ba333b3448
hex1bae2bf57ca0

30434875767968 has 36 divisors (see below), whose sum is σ = 69701300311482. Its totient is φ = 13043518185600.

The previous prime is 30434875767827. The next prime is 30434875767991. The reversal of 30434875767968 is 86976757843403.

It can be written as a sum of positive squares in only one way, i.e., 17424513335824 + 13010362432144 = 4174268^2 + 3606988^2 .

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, 9704997083 + ... + 9705000218.

Almost surely, 230434875767968 is an apocalyptic number.

It is an amenable number.

30434875767968 is an abundant number, since it is smaller than the sum of its proper divisors (39266424543514).

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

30434875767968 is a wasteful number, since it uses less digits than its factorization.

30434875767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409997325 (or 19409997310 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 77.

The spelling of 30434875767968 in words is "thirty trillion, four hundred thirty-four billion, eight hundred seventy-five million, seven hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 19409997301 38819994602 77639989204 135869981107 155279978408 271739962214 310559956816 543479924428 621119913632 951089867749 1086959848856 1902179735498 2173919697712 3804359470996 4347839395424 7608718941992 15217437883984 30434875767968