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34081510050 = 23352731317367
BaseRepresentation
bin11111101111011010…
…101001001010100010
310020222012101002121000
4133233122221022202
51024244331310200
623353513012430
72314400025030
oct375732511242
9106865332530
1034081510050
11134aa13aa35
1267319b4116
1332a1b552c3
141914539550
15d47100300
hex7ef6a92a2

34081510050 has 384 divisors, whose sum is σ = 111444295680. Its totient is φ = 7494508800.

The previous prime is 34081510037. The next prime is 34081510079. The reversal of 34081510050 is 5001518043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34081509996 and 34081510023.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92864967 + ... + 92865333.

It is an arithmetic number, because the mean of its divisors is an integer number (290219520).

Almost surely, 234081510050 is an apocalyptic number.

34081510050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34081510050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55722147840).

34081510050 is an abundant number, since it is smaller than the sum of its proper divisors (77362785630).

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

34081510050 is a wasteful number, since it uses less digits than its factorization.

34081510050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 34081510050 in words is "thirty-four billion, eighty-one million, five hundred ten thousand, fifty".