Search a number
-
+
76071105096 = 233717233137357
BaseRepresentation
bin100011011011000110…
…0001111001001001000
321021100112012112101220
41012312030033021020
52221243200330341
654540243442040
75332053503340
oct1066614171110
9237315175356
1076071105096
112a2971791a8
12128b0086320
13723417ac2c
143979053d20
151ea35e1a66
hex11b630f248

76071105096 has 256 divisors, whose sum is σ = 247889756160. Its totient is φ = 18935009280.

The previous prime is 76071105091. The next prime is 76071105107. The reversal of 76071105096 is 69050117067.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76071105091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2017650 + ... + 2055006.

It is an arithmetic number, because the mean of its divisors is an integer number (968319360).

Almost surely, 276071105096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76071105096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123944878080).

76071105096 is an abundant number, since it is smaller than the sum of its proper divisors (171818651064).

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

76071105096 is a wasteful number, since it uses less digits than its factorization.

76071105096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37444 (or 37440 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 76071105096 in words is "seventy-six billion, seventy-one million, one hundred five thousand, ninety-six".