Search a number
-
+
61098328837764 = 223213027572
BaseRepresentation
bin11011110010001100100000…
…01011111100111010000100
322000022221110120212110002100
431321012100023330322010
531002013334140302024
6333540103525112100
715604131355136031
oct1571062013747204
9260287416773070
1061098328837764
1118516723887189
126a29322858630
13281271736616a
141113263ca4388
1570e4939997c9
hex3791902fce84

61098328837764 has 27 divisors (see below), whose sum is σ = 154443116446437. Its totient is φ = 20366093979504.

The previous prime is 61098328837751. The next prime is 61098328837811. The reversal of 61098328837764 is 46773882389016.

The square root of 61098328837764 is 7816542.

It is a perfect power (a square), and thus also a powerful number.

61098328837764 is a `hidden beast` number, since 6 + 1 + 0 + 98 + 32 + 88 + 377 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16320711212100 + 44777617625664 = 4039890^2 + 6691608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61098328837692 and 61098328837701.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46247874 + ... + 47550630.

Almost surely, 261098328837764 is an apocalyptic number.

61098328837764 is the 7816542-nd square number.

It is an amenable number.

61098328837764 is an abundant number, since it is smaller than the sum of its proper divisors (93344787608673).

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

61098328837764 is an frugal number, since it uses more digits than its factorization.

61098328837764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605524 (or 1302762 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 61098328837764 in words is "sixty-one trillion, ninety-eight billion, three hundred twenty-eight million, eight hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1302757 2605514 3908271 5211028 7816542 11724813 15633084 23449626 46899252 1697175801049 3394351602098 5091527403147 6788703204196 10183054806294 15274582209441 20366109612588 30549164418882 61098328837764