Search a number
-
+
106947979460 = 2257797958487
BaseRepresentation
bin110001110011010011…
…0001010100011000100
3101020001101111021021022
41203212212022203010
53223012140320320
6121044202210312
710504161553250
oct1434646124304
9336041437238
10106947979460
11413a1389993
12188887b3998
13a1151006aa
145267b19260
152bae1ca325
hex18e698a8c4

106947979460 has 48 divisors (see below), whose sum is σ = 256997470464. Its totient is φ = 36621833088.

The previous prime is 106947979441. The next prime is 106947979477. The reversal of 106947979460 is 64979749601.

It is a happy number.

It is a super-2 number, since 2×1069479794602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106947979393 and 106947979402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367664 + ... + 590823.

It is an arithmetic number, because the mean of its divisors is an integer number (5354113968).

Almost surely, 2106947979460 is an apocalyptic number.

106947979460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106947979460 is an abundant number, since it is smaller than the sum of its proper divisors (150049491004).

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

106947979460 is a wasteful number, since it uses less digits than its factorization.

106947979460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959300 (or 959298 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 62.

The spelling of 106947979460 in words is "one hundred six billion, nine hundred forty-seven million, nine hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 797 1594 3188 3985 5579 7970 11158 15940 22316 27895 55790 111580 958487 1916974 3833948 4792435 6709409 9584870 13418818 19169740 26837636 33547045 67094090 134188180 763914139 1527828278 3055656556 3819570695 5347398973 7639141390 10694797946 15278282780 21389595892 26736994865 53473989730 106947979460