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56318509350 = 23252379330217
BaseRepresentation
bin110100011100110110…
…000100000100100110
312101100221012200222200
4310130312010010212
51410320014244400
641512233035330
74032424300545
oct643466040446
9171327180880
1056318509350
112198036a704
12aab8b55b46
135406b1735c
142a2397015c
1516e9445b00
hexd1cd84126

56318509350 has 72 divisors (see below), whose sum is σ = 151708753560. Its totient is φ = 14978597760.

The previous prime is 56318509337. The next prime is 56318509367. The reversal of 56318509350 is 5390581365.

56318509350 is a `hidden beast` number, since 5 + 631 + 8 + 5 + 0 + 9 + 3 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56318509296 and 56318509305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5442 + ... + 335658.

Almost surely, 256318509350 is an apocalyptic number.

56318509350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56318509350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75854376780).

56318509350 is an abundant number, since it is smaller than the sum of its proper divisors (95390244210).

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

56318509350 is a wasteful number, since it uses less digits than its factorization.

56318509350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330614 (or 330606 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 56318509350 in words is "fifty-six billion, three hundred eighteen million, five hundred nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 379 450 758 1137 1895 2274 3411 3790 5685 6822 9475 11370 17055 18950 28425 34110 56850 85275 170550 330217 660434 990651 1651085 1981302 2971953 3302170 4953255 5943906 8255425 9906510 14859765 16510850 24766275 29719530 49532550 74298825 125152243 148597650 250304486 375456729 625761215 750913458 1126370187 1251522430 1877283645 2252740374 3128806075 3754567290 5631850935 6257612150 9386418225 11263701870 18772836450 28159254675 56318509350