Search a number
-
+
35483116680 = 2332511431911091
BaseRepresentation
bin100001000010111101…
…010110010010001000
310101120212202002102200
4201002331112102020
51040132134213210
624144542200200
72364206341524
oct410275262210
9111525662380
1035483116680
1114059326820
126a63283060
13346634713b
141a08748d84
15dca1b10c0
hex842f56488

35483116680 has 384 divisors, whose sum is σ = 129522032640. Its totient is φ = 8350272000.

The previous prime is 35483116673. The next prime is 35483116709. The reversal of 35483116680 is 8661138453.

35483116680 is a `hidden beast` number, since 3 + 5 + 483 + 1 + 166 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32522935 + ... + 32524025.

It is an arithmetic number, because the mean of its divisors is an integer number (337296960).

Almost surely, 235483116680 is an apocalyptic number.

35483116680 is a gapful number since it is divisible by the number (30) 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 35483116680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64761016320).

35483116680 is an abundant number, since it is smaller than the sum of its proper divisors (94038915960).

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

35483116680 is a wasteful number, since it uses less digits than its factorization.

35483116680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 35483116680 in words is "thirty-five billion, four hundred eighty-three million, one hundred sixteen thousand, six hundred eighty".