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61033130676 = 22327432130987
BaseRepresentation
bin111000110101110110…
…111010101010110100
312211112111121021121100
4320311312322222310
51444443440140201
644012131450100
74260313023330
oct706566725264
9184474537540
1061033130676
112397a67a471
12b9b3a56930
1359a87c730b
142d4db867c0
1518c32ca886
hexe35dbaab4

61033130676 has 108 divisors (see below), whose sum is σ = 180515086752. Its totient is φ = 17032371552.

The previous prime is 61033130647. The next prime is 61033130681. The reversal of 61033130676 is 67603133016.

61033130676 is a `hidden beast` number, since 6 + 10 + 331 + 306 + 7 + 6 = 666.

It is a super-2 number, since 2×610331306762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61033130676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400455 + ... + 531441.

Almost surely, 261033130676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61033130676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90257543376).

61033130676 is an abundant number, since it is smaller than the sum of its proper divisors (119481956076).

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

61033130676 is a wasteful number, since it uses less digits than its factorization.

61033130676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131090 (or 131042 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 61033130676 in words is "sixty-one billion, thirty-three million, one hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 1849 2709 3612 3698 5418 5547 7396 10836 11094 12943 16641 22188 25886 33282 38829 51772 66564 77658 116487 130987 155316 232974 261974 392961 465948 523948 785922 916909 1178883 1571844 1833818 2357766 2750727 3667636 4715532 5501454 5632441 8252181 11002908 11264882 16504362 16897323 22529764 33008724 33794646 39427087 50691969 67589292 78854174 101383938 118281261 157708348 202767876 236562522 242194963 354843783 473125044 484389926 709687566 726584889 968779852 1419375132 1453169778 1695364741 2179754667 2906339556 3390729482 4359509334 5086094223 6781458964 8719018668 10172188446 15258282669 20344376892 30516565338 61033130676