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56382306000 = 2435322214231
BaseRepresentation
bin110100100000101001…
…011011011011010000
312101112101020220112120
4310200221123123100
51410432332243000
641522432254240
74034130456606
oct644051333320
9171471226476
1056382306000
1121a03384009
12ab163a1380
1354170c3457
142a2c219876
1516eed486a0
hexd20a5b6d0

56382306000 has 160 divisors (see below), whose sum is σ = 181901381376. Its totient is φ = 15024960000.

The previous prime is 56382305999. The next prime is 56382306037. The reversal of 56382306000 is 60328365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13323885 + ... + 13328115.

Almost surely, 256382306000 is an apocalyptic number.

56382306000 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 56382306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90950690688).

56382306000 is an abundant number, since it is smaller than the sum of its proper divisors (125519075376).

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

56382306000 is a wasteful number, since it uses less digits than its factorization.

56382306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 56382306000 in words is "fifty-six billion, three hundred eighty-two million, three hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2221 3000 4231 4442 6000 6663 8462 8884 11105 12693 13326 16924 17768 21155 22210 25386 26652 33315 33848 35536 42310 44420 50772 53304 55525 63465 66630 67696 84620 88840 101544 105775 106608 111050 126930 133260 166575 169240 177680 203088 211550 222100 253860 266520 277625 317325 333150 338480 423100 444200 507720 528875 533040 555250 634650 666300 832875 846200 888400 1015440 1057750 1110500 1269300 1332600 1586625 1665750 1692400 2115500 2221000 2538600 2665200 3173250 3331500 4231000 4442000 5077200 6346500 6663000 8462000 9397051 12693000 13326000 18794102 25386000 28191153 37588204 46985255 56382306 75176408 93970510 112764612 140955765 150352816 187941020 225529224 234926275 281911530 375882040 451058448 469852550 563823060 704778825 751764080 939705100 1127646120 1174631375 1409557650 1879410200 2255292240 2349262750 2819115300 3523894125 3758820400 4698525500 5638230600 7047788250 9397051000 11276461200 14095576500 18794102000 28191153000 56382306000