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61046083428 = 2231117103926183
BaseRepresentation
bin111000110110101000…
…010100111101100100
312211120101222100102220
4320312220110331210
52000010244132203
644013313232340
74260531101421
oct706650247544
9184511870386
1061046083428
1123986a17020
12b9b82626b0
1359ab3b0b75
142d51798d48
1518c44d8653
hexe36a14f64

61046083428 has 96 divisors (see below), whose sum is σ = 164695265280. Its totient is φ = 17393226240.

The previous prime is 61046083409. The next prime is 61046083429. The reversal of 61046083428 is 82438064016.

61046083428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61046083428.

It is not an unprimeable number, because it can be changed into a prime (61046083429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2318425 + ... + 2344607.

It is an arithmetic number, because the mean of its divisors is an integer number (1715575680).

Almost surely, 261046083428 is an apocalyptic number.

61046083428 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61046083428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82347632640).

61046083428 is an abundant number, since it is smaller than the sum of its proper divisors (103649181852).

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

61046083428 is a wasteful number, since it uses less digits than its factorization.

61046083428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27257 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 61046083428 in words is "sixty-one billion, forty-six million, eighty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1039 1122 2078 2244 3117 4156 6234 11429 12468 17663 22858 26183 34287 35326 45716 52366 52989 68574 70652 78549 104732 105978 137148 157098 194293 211956 288013 314196 388586 445111 576026 582879 777172 864039 890222 1152052 1165758 1335333 1728078 1780444 2331516 2670666 3456156 4896221 5341332 9792442 14688663 19584884 27204137 29377326 54408274 58754652 81612411 108816548 163224822 299245507 326449644 462470329 598491014 897736521 924940658 1196982028 1387410987 1795473042 1849881316 2774821974 3590946084 5087173619 5549643948 10174347238 15261520857 20348694476 30523041714 61046083428