Search a number
-
+
561536110480 = 245311997113383
BaseRepresentation
bin10000010101111100010…
…10010000111110010000
31222200102102021000102111
420022332022100332100
533200011221013410
61105544403355104
755366250120302
oct10127612207620
91880372230374
10561536110480
111a716754a054
12909b5382a94
1340c4cc01577
141d26dad9972
15e918164b8a
hex82be290f90

561536110480 has 80 divisors (see below), whose sum is σ = 1348373412864. Its totient is φ = 217258053120.

The previous prime is 561536110469. The next prime is 561536110501. The reversal of 561536110480 is 84011635165.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 4895869 + ... + 5009251.

Almost surely, 2561536110480 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 561536110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674186706432).

561536110480 is an abundant number, since it is smaller than the sum of its proper divisors (786837302384).

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

561536110480 is a wasteful number, since it uses less digits than its factorization.

561536110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115424 (or 115418 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 561536110480 in words is "five hundred sixty-one billion, five hundred thirty-six million, one hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1997 2480 3994 7988 9985 15976 19970 31952 39940 61907 79880 113383 123814 159760 226766 247628 309535 453532 495256 566915 619070 907064 990512 1133830 1238140 1814128 2267660 2476280 3514873 4535320 4952560 7029746 9070640 14059492 17574365 28118984 35148730 56237968 70297460 140594920 226425851 281189840 452851702 905703404 1132129255 1811406808 2264258510 3622813616 4528517020 7019201381 9057034040 14038402762 18114068080 28076805524 35096006905 56153611048 70192013810 112307222096 140384027620 280768055240 561536110480