Search a number
-
+
117801048438 = 23343431117709
BaseRepresentation
bin110110110110101111…
…1010101100101110110
3102021001202110022001000
41231231133111211312
53412224032022223
6130041141144130
711340135250623
oct1555537254566
9367052408030
10117801048438
1145a60691287
121a9b73bb046
13b154761cb8
1459b729d34a
1530e6de4543
hex1b6d7d5976

117801048438 has 64 divisors (see below), whose sum is σ = 268491801600. Its totient is φ = 38264516640.

The previous prime is 117801048419. The next prime is 117801048457. The reversal of 117801048438 is 834840108711.

117801048438 is a `hidden beast` number, since 1 + 178 + 0 + 1 + 0 + 48 + 438 = 666.

It is an interprime number because it is at equal distance from previous prime (117801048419) and next prime (117801048457).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 117801048393 and 117801048402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941928 + ... + 1059636.

It is an arithmetic number, because the mean of its divisors is an integer number (4195184400).

Almost surely, 2117801048438 is an apocalyptic number.

117801048438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117801048438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134245900800).

117801048438 is an abundant number, since it is smaller than the sum of its proper divisors (150690753162).

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

117801048438 is a wasteful number, since it uses less digits than its factorization.

117801048438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118194 (or 118188 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 117801048438 in words is "one hundred seventeen billion, eight hundred one million, forty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 431 774 862 1161 1293 2322 2586 3879 7758 11637 18533 23274 37066 55599 111198 117709 166797 235418 333594 353127 500391 706254 1000782 1059381 2118762 3178143 5061487 6356286 10122974 15184461 30368922 45553383 50732579 91106766 101465158 136660149 152197737 273320298 304395474 456593211 913186422 1369779633 2181500897 2739559266 4363001794 6544502691 13089005382 19633508073 39267016146 58900524219 117801048438