Search a number
-
+
61501791808 = 2631181117117
BaseRepresentation
bin111001010001110010…
…101101111001000000
312212202011110201211001
4321101302231321000
52001423424314213
644130432501344
74305033414322
oct712162557100
9185664421731
1061501791808
11240a0181516
12bb049aa854
135a51928bb2
142d96101612
1518ee5031dd
hexe51cade40

61501791808 has 56 divisors (see below), whose sum is σ = 126056404224. Its totient is φ = 29740761600.

The previous prime is 61501791787. The next prime is 61501791811. The reversal of 61501791808 is 80819710516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3584466 + ... + 3601582.

Almost surely, 261501791808 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 61501791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63028202112).

61501791808 is an abundant number, since it is smaller than the sum of its proper divisors (64554612416).

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

61501791808 is a wasteful number, since it uses less digits than its factorization.

61501791808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971 (or 18961 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The spelling of 61501791808 in words is "sixty-one billion, five hundred one million, seven hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1811 1984 3622 7244 14488 17117 28976 34234 56141 57952 68468 112282 115904 136936 224564 273872 449128 530627 547744 898256 1061254 1095488 1796512 2122508 3593024 4245016 8490032 16980064 30998887 33960128 61997774 123995548 247991096 495982192 960965497 991964384 1921930994 1983928768 3843861988 7687723976 15375447952 30750895904 61501791808