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56204465600 = 265235997849
BaseRepresentation
bin110100010110000011…
…000001010111000000
312101001222121200101002
4310112003001113000
51410101320344400
641453040431132
74026541034513
oct642603012700
9171058550332
1056204465600
1121921a56978
12aa869184a8
1353b92c754a
142a12764d7a
1516de419ed5
hexd160c15c0

56204465600 has 84 divisors (see below), whose sum is σ = 138684762000. Its totient is φ = 22418933760.

The previous prime is 56204465593. The next prime is 56204465633. The reversal of 56204465600 is 656440265.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525476 + ... + 623324.

Almost surely, 256204465600 is an apocalyptic number.

56204465600 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 56204465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342381000).

56204465600 is an abundant number, since it is smaller than the sum of its proper divisors (82480296400).

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

56204465600 is a wasteful number, since it uses less digits than its factorization.

56204465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98230 (or 98215 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 56204465600 in words is "fifty-six billion, two hundred four million, four hundred sixty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 359 400 718 800 1436 1600 1795 2872 3590 5744 7180 8975 11488 14360 17950 22976 28720 35900 57440 71800 97849 114880 143600 195698 287200 391396 489245 574400 782792 978490 1565584 1956980 2446225 3131168 3913960 4892450 6262336 7827920 9784900 15655840 19569800 31311680 35127791 39139600 70255582 78279200 140511164 156558400 175638955 281022328 351277910 562044656 702555820 878194775 1124089312 1405111640 1756389550 2248178624 2810223280 3512779100 5620446560 7025558200 11240893120 14051116400 28102232800 56204465600