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46611542052 = 22328326957991
BaseRepresentation
bin101011011010010000…
…111011000000100100
311110022102211200011100
4223122100323000210
51230430023321202
633225115040100
73240035366415
oct533220730044
9143272750140
1046611542052
111884a000489
12904a140030
13451aa5861a
1423826c980c
15132c16c41c
hexada43b024

46611542052 has 72 divisors (see below), whose sum is σ = 119688528960. Its totient is φ = 15292658880.

The previous prime is 46611542041. The next prime is 46611542053. The reversal of 46611542052 is 25024511664.

46611542052 is a `hidden beast` number, since 4 + 6 + 61 + 1 + 542 + 0 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46611541998 and 46611542016.

It is not an unprimeable number, because it can be changed into a prime (46611542053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774777 + ... + 832767.

It is an arithmetic number, because the mean of its divisors is an integer number (1662340680).

Almost surely, 246611542052 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 46611542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844264480).

46611542052 is an abundant number, since it is smaller than the sum of its proper divisors (73076986908).

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

46611542052 is a wasteful number, since it uses less digits than its factorization.

46611542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58353 (or 58348 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 46611542052 in words is "forty-six billion, six hundred eleven million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 269 332 498 538 747 807 996 1076 1494 1614 2421 2988 3228 4842 9684 22327 44654 57991 66981 89308 115982 133962 173973 200943 231964 267924 347946 401886 521919 695892 803772 1043838 2087676 4813253 9626506 14439759 15599579 19253012 28879518 31199158 43319277 46798737 57759036 62398316 86638554 93597474 140396211 173277108 187194948 280792422 561584844 1294765057 2589530114 3884295171 5179060228 7768590342 11652885513 15537180684 23305771026 46611542052