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56221550040 = 23352414614217
BaseRepresentation
bin110100010111000100…
…001100010111011000
312101010011202122211010
4310113010030113120
51410120204100130
641454450533520
74030136201415
oct642704142730
9171104678733
1056221550040
1121930665747
12aa905972a0
1353bc9c9896
142a14b3110c
1516e0b920b0
hexd1710c5d8

56221550040 has 128 divisors (see below), whose sum is σ = 169772137920. Its totient is φ = 14894284800.

The previous prime is 56221550027. The next prime is 56221550041. The reversal of 56221550040 is 4005512265.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56221550041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13330012 + ... + 13334228.

Almost surely, 256221550040 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 56221550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84886068960).

56221550040 is an abundant number, since it is smaller than the sum of its proper divisors (113550587880).

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

56221550040 is a wasteful number, since it uses less digits than its factorization.

56221550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 56221550040 in words is "fifty-six billion, two hundred twenty-one million, five hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 461 482 723 922 964 1205 1383 1446 1844 1928 2305 2410 2766 2892 3615 3688 4217 4610 4820 5532 5784 6915 7230 8434 9220 9640 11064 12651 13830 14460 16868 18440 21085 25302 27660 28920 33736 42170 50604 55320 63255 84340 101208 111101 126510 168680 222202 253020 333303 444404 506040 555505 666606 888808 1016297 1111010 1333212 1666515 1944037 2032594 2222020 2666424 3048891 3333030 3888074 4065188 4444040 5081485 5832111 6097782 6666060 7776148 8130376 9720185 10162970 11664222 12195564 13332120 15244455 15552296 19440370 20325940 23328444 24391128 29160555 30488910 38880740 40651880 46656888 58321110 60977820 77761480 116642220 121955640 233284440 468512917 937025834 1405538751 1874051668 2342564585 2811077502 3748103336 4685129170 5622155004 7027693755 9370258340 11244310008 14055387510 18740516680 28110775020 56221550040