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107083447380 = 2232571323284237
BaseRepresentation
bin110001110111010101…
…0111011110001010100
3101020101211101202022200
41203232222323301110
53223301330304010
6121105441524500
710510425166410
oct1435652736124
9336354352280
10107083447380
11414608a5a48
1218906043730
13a1371b1c20
14527baddd40
152bbb038cc0
hex18eeabbc54

107083447380 has 288 divisors, whose sum is σ = 417161332224. Its totient is φ = 21611031552.

The previous prime is 107083447379. The next prime is 107083447381. The reversal of 107083447380 is 83744380701.

107083447380 is a `hidden beast` number, since 1 + 0 + 70 + 8 + 34 + 473 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (107083447379) and next prime (107083447381).

It is a super-4 number, since 4×1070834473804 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107083447381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234622 + ... + 518858.

It is an arithmetic number, because the mean of its divisors is an integer number (1448476848).

Almost surely, 2107083447380 is an apocalyptic number.

107083447380 is a gapful number since it is divisible by the number (10) 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 107083447380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208580666112).

107083447380 is an abundant number, since it is smaller than the sum of its proper divisors (310077884844).

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

107083447380 is a wasteful number, since it uses less digits than its factorization.

107083447380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284295 (or 284290 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 107083447380 in words is "one hundred seven billion, eighty-three million, four hundred forty-seven thousand, three hundred eighty".