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61448807916 = 22327389262723
BaseRepresentation
bin111001001110101000…
…100110010111101100
312212121110202212120200
4321032220212113230
52001321343323131
644121301113500
74303521151326
oct711650462754
9185543685520
1061448807916
1124073282981
12baab0b8890
135a43967592
142d8d06c616
1518e9a392e6
hexe4ea265ec

61448807916 has 72 divisors (see below), whose sum is σ = 159226507440. Its totient is φ = 19975279104.

The previous prime is 61448807911. The next prime is 61448807957. The reversal of 61448807916 is 61970884416.

61448807916 is a `hidden beast` number, since 614 + 4 + 8 + 8 + 0 + 7 + 9 + 16 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61448807911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102531 + ... + 365253.

It is an arithmetic number, because the mean of its divisors is an integer number (2211479270).

Almost surely, 261448807916 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 61448807916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79613253720).

61448807916 is an abundant number, since it is smaller than the sum of its proper divisors (97777699524).

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

61448807916 is a wasteful number, since it uses less digits than its factorization.

61448807916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262895 (or 262890 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 61448807916 in words is "sixty-one billion, four hundred forty-eight million, eight hundred seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 89 146 178 219 267 292 356 438 534 657 801 876 1068 1314 1602 2628 3204 6497 12994 19491 25988 38982 58473 77964 116946 233892 262723 525446 788169 1050892 1576338 2364507 3152676 4729014 9458028 19178779 23382347 38357558 46764694 57536337 70147041 76715116 93529388 115072674 140294082 172609011 210441123 230145348 280588164 345218022 420882246 690436044 841764492 1706911331 3413822662 5120733993 6827645324 10241467986 15362201979 20482935972 30724403958 61448807916