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56416306400 = 2552107659069
BaseRepresentation
bin110100100010101011…
…001000010011100000
312101121202020022022122
4310202223020103200
51411020033301100
641530045123412
74035022456256
oct644253102340
9171552208278
1056416306400
1121a20597013
12ab25859568
13542116922c
142a3294a5d6
151702d12985
hexd22ac84e0

56416306400 has 72 divisors (see below), whose sum is σ = 139013680680. Its totient is φ = 22355586560.

The previous prime is 56416306313. The next prime is 56416306439. The reversal of 56416306400 is 460361465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243935 + ... + 415134.

It is an arithmetic number, because the mean of its divisors is an integer number (1930745565).

Almost surely, 256416306400 is an apocalyptic number.

56416306400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56416306400 is an abundant number, since it is smaller than the sum of its proper divisors (82597374280).

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

56416306400 is a wasteful number, since it uses less digits than its factorization.

56416306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659196 (or 659183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 56416306400 its reverse (460361465), we get a palindrome (56876667865).

The spelling of 56416306400 in words is "fifty-six billion, four hundred sixteen million, three hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 400 428 535 800 856 1070 1712 2140 2675 3424 4280 5350 8560 10700 17120 21400 42800 85600 659069 1318138 2636276 3295345 5272552 6590690 10545104 13181380 16476725 21090208 26362760 32953450 52725520 65906900 70520383 105451040 131813800 141040766 263627600 282081532 352601915 527255200 564163064 705203830 1128326128 1410407660 1763009575 2256652256 2820815320 3526019150 5641630640 7052038300 11283261280 14104076600 28208153200 56416306400