Search a number
-
+
61335053316 = 22324879533671
BaseRepresentation
bin111001000111110110…
…101010010000000100
312212022112201112121100
4321013312222100010
52001103233201231
644102115020100
74300640231265
oct710766522004
9185275645540
1061335053316
1124015047409
12ba78b9a630
135a26219274
142d7bcda96c
1518dea691e6
hexe47daa404

61335053316 has 72 divisors (see below), whose sum is σ = 155565131904. Its totient is φ = 20376074880.

The previous prime is 61335053293. The next prime is 61335053347.

61335053316 is a `hidden beast` number, since 6 + 1 + 335 + 0 + 5 + 3 + 316 = 666.

61335053316 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16706161 + ... + 16709831.

It is an arithmetic number, because the mean of its divisors is an integer number (2160626832).

Almost surely, 261335053316 is an apocalyptic number.

It is an amenable number.

61335053316 is an abundant number, since it is smaller than the sum of its proper divisors (94230078588).

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

61335053316 is a wasteful number, since it uses less digits than its factorization.

61335053316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 613350 and 53316, that added together give a palindrome (666666).

The spelling of 61335053316 in words is "sixty-one billion, three hundred thirty-five million, fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 487 953 974 1461 1906 1948 2859 2922 3671 3812 4383 5718 5844 7342 8577 8766 11013 11436 14684 17154 17532 22026 33039 34308 44052 66078 132156 464111 928222 1392333 1787777 1856444 2784666 3498463 3575554 4176999 5363331 5569332 6996926 7151108 8353998 10495389 10726662 13993852 16089993 16707996 20990778 21453324 31486167 32179986 41981556 62972334 64359972 125944668 1703751481 3407502962 5111254443 6815005924 10222508886 15333763329 20445017772 30667526658 61335053316