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56646621280 = 2551961930103
BaseRepresentation
bin110100110000011001…
…101101100001100000
312102012210121111221101
4310300121231201200
51412003013340110
642004553404144
74043520223234
oct646031554140
9172183544841
1056646621280
11220295a4a97
12ab8aa09654
135459aa8922
142a553805c4
15171815913a
hexd3066d860

56646621280 has 96 divisors (see below), whose sum is σ = 141103468800. Its totient is φ = 21430697472.

The previous prime is 56646621277. The next prime is 56646621289. The reversal of 56646621280 is 8212664665.

It is a self number, because there is not a number n which added to its sum of digits gives 56646621280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56646621289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866709 + ... + 1896811.

It is an arithmetic number, because the mean of its divisors is an integer number (1469827800).

Almost surely, 256646621280 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 56646621280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70551734400).

56646621280 is an abundant number, since it is smaller than the sum of its proper divisors (84456847520).

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

56646621280 is a wasteful number, since it uses less digits than its factorization.

56646621280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30756 (or 30748 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 56646621280 in words is "fifty-six billion, six hundred forty-six million, six hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 619 760 1238 1520 2476 3040 3095 4952 6190 9904 11761 12380 19808 23522 24760 30103 47044 49520 58805 60206 94088 99040 117610 120412 150515 188176 235220 240824 301030 376352 470440 481648 571957 602060 940880 963296 1143914 1204120 1881760 2287828 2408240 2859785 4575656 4816480 5719570 9151312 11439140 18302624 18633757 22878280 37267514 45756560 74535028 91513120 93168785 149070056 186337570 298140112 354041383 372675140 596280224 708082766 745350280 1416165532 1490700560 1770206915 2832331064 2981401120 3540413830 5664662128 7080827660 11329324256 14161655320 28323310640 56646621280