Search a number
-
+
107878275232 = 257131716713049
BaseRepresentation
bin110010001111000001…
…0111101100010100000
3101022110020000012011021
41210132002331202200
53231413314301412
6121320353455224
710536216131650
oct1443602754240
9338406005137
10107878275232
1141829523972
1218aa8271514
13a232a73870
1453154c0360
152c15bdd607
hex191e0bd8a0

107878275232 has 192 divisors, whose sum is σ = 278452339200. Its totient is φ = 39923122176.

The previous prime is 107878275229. The next prime is 107878275233. The reversal of 107878275232 is 232572878701.

It is a super-2 number, since 2×1078782752322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) 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 (52).

It is a self number, because there is not a number n which added to its sum of digits gives 107878275232.

It is not an unprimeable number, because it can be changed into a prime (107878275233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8260644 + ... + 8273692.

It is an arithmetic number, because the mean of its divisors is an integer number (1450272600).

Almost surely, 2107878275232 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 107878275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139226169600).

107878275232 is an abundant number, since it is smaller than the sum of its proper divisors (170574063968).

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

107878275232 is a wasteful number, since it uses less digits than its factorization.

107878275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The spelling of 107878275232 in words is "one hundred seven billion, eight hundred seventy-eight million, two hundred seventy-five thousand, two hundred thirty-two".