Search a number
-
+
106942985360 = 2451336787317
BaseRepresentation
bin110001110011001001…
…1000111010010010000
3101020001001002112122122
41203212103013102100
53223004401012420
6121043503153412
710504101243221
oct1434623072220
9336031075578
10106942985360
1141399588832
1218886ba5868
13a1140724c3
1452671b9248
152bada40725
hex18e64c7490

106942985360 has 20 divisors (see below), whose sum is σ = 248642441148. Its totient is φ = 42777194112.

The previous prime is 106942985329. The next prime is 106942985431. The reversal of 106942985360 is 63589249601.

It can be written as a sum of positive squares in 2 ways, for example, as 26770195456 + 80172789904 = 163616^2 + 283148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1069429853602 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668393579 + ... + 668393738.

Almost surely, 2106942985360 is an apocalyptic number.

106942985360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106942985360 is an abundant number, since it is smaller than the sum of its proper divisors (141699455788).

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

106942985360 is a wasteful number, since it uses less digits than its factorization.

106942985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336787330 (or 1336787324 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 106942985360 in words is "one hundred six billion, nine hundred forty-two million, nine hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1336787317 2673574634 5347149268 6683936585 10694298536 13367873170 21388597072 26735746340 53471492680 106942985360