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56423441600 = 2652327110781
BaseRepresentation
bin110100100011000110…
…010110010011000000
312101122020122210222022
4310203012112103000
51411023400112400
641530502101012
74035140224511
oct644306262300
9171566583868
1056423441600
1121a2461a879
12ab2811a768
135422796b46
142a33886a08
151703771b85
hexd231964c0

56423441600 has 84 divisors (see below), whose sum is σ = 138892257648. Its totient is φ = 22560384000.

The previous prime is 56423441567. The next prime is 56423441603. The reversal of 56423441600 is 614432465.

It is a super-2 number, since 2×564234416002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56423441603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5228210 + ... + 5238990.

Almost surely, 256423441600 is an apocalyptic number.

56423441600 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 56423441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69446128824).

56423441600 is an abundant number, since it is smaller than the sum of its proper divisors (82468816048).

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

56423441600 is a wasteful number, since it uses less digits than its factorization.

56423441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14074 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 56423441600 in words is "fifty-six billion, four hundred twenty-three million, four hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3271 6542 10781 13084 16355 21562 26168 32710 43124 52336 53905 65420 81775 86248 104672 107810 130840 163550 172496 209344 215620 261680 269525 327100 344992 431240 523360 539050 654200 689984 862480 1046720 1078100 1308400 1724960 2156200 2616800 3449920 4312400 5233600 8624800 17249600 35264651 70529302 141058604 176323255 282117208 352646510 564234416 705293020 881616275 1128468832 1410586040 1763232550 2256937664 2821172080 3526465100 5642344160 7052930200 11284688320 14105860400 28211720800 56423441600