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34770956148 = 2232965859893
BaseRepresentation
bin100000011000100000…
…101010111101110100
310022202020200120211200
4200120200222331310
51032202331044043
623550142132500
72340441151665
oct403040527564
9108666616750
1034770956148
1113823330aa5
1268a4881130
13338193a986
14197bd2736c
15d878da7d3
hex81882af74

34770956148 has 18 divisors (see below), whose sum is σ = 87893250354. Its totient is φ = 11590318704.

The previous prime is 34770956147. The next prime is 34770956243. The reversal of 34770956148 is 84165907743.

34770956148 is a `hidden beast` number, since 3 + 4 + 7 + 70 + 9 + 561 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26993832804 + 7777123344 = 164298^2 + 88188^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×347709561482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34770956094 and 34770956103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34770956147) 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, 482929911 + ... + 482929982.

It is an arithmetic number, because the mean of its divisors is an integer number (4882958353).

Almost surely, 234770956148 is an apocalyptic number.

It is an amenable number.

34770956148 is an abundant number, since it is smaller than the sum of its proper divisors (53122294206).

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

34770956148 is a wasteful number, since it uses less digits than its factorization.

34770956148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965859903 (or 965859898 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 34770956148 in words is "thirty-four billion, seven hundred seventy million, nine hundred fifty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 965859893 1931719786 2897579679 3863439572 5795159358 8692739037 11590318716 17385478074 34770956148