Search a number
-
+
56211551600 = 2452499281621
BaseRepresentation
bin110100010110011110…
…000011010101110000
312101002110221200112112
4310112132003111300
51410110124122400
641453452344452
74026655206431
oct642636032560
9171073850475
1056211551600
1121925a56776
12aa89175128
1353ba908949
142a1368b488
1516ded69835
hexd16783570

56211551600 has 60 divisors (see below), whose sum is σ = 135319371000. Its totient is φ = 22439481600.

The previous prime is 56211551579. The next prime is 56211551609. The reversal of 56211551600 is 615511265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56211551609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58790 + ... + 340410.

It is an arithmetic number, because the mean of its divisors is an integer number (2255322850).

Almost surely, 256211551600 is an apocalyptic number.

56211551600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56211551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67659685500).

56211551600 is an abundant number, since it is smaller than the sum of its proper divisors (79107819400).

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

56211551600 is a wasteful number, since it uses less digits than its factorization.

56211551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282138 (or 282127 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 56211551600 in words is "fifty-six billion, two hundred eleven million, five hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 499 998 1996 2495 3992 4990 7984 9980 12475 19960 24950 39920 49900 99800 199600 281621 563242 1126484 1408105 2252968 2816210 4505936 5632420 7040525 11264840 14081050 22529680 28162100 56324200 112648400 140528879 281057758 562115516 702644395 1124231032 1405288790 2248462064 2810577580 3513221975 5621155160 7026443950 11242310320 14052887900 28105775800 56211551600