Search a number
-
+
58732148148 = 223171915152773
BaseRepresentation
bin110110101100101101…
…010111010110110100
312121121010220020222020
4312230231113112310
51430240412220043
642551533433140
74146303010422
oct665455272664
9177533806866
1058732148148
11229a9848213
12b47133b7b0
1356ccb99bab
142bb2340112
1517db2b2e83
hexdacb575b4

58732148148 has 48 divisors (see below), whose sum is σ = 152739961920. Its totient is φ = 17455993344.

The previous prime is 58732148147. The next prime is 58732148149. The reversal of 58732148148 is 84184123785.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58732148147) and next prime (58732148149).

It is a Harshad number since it is a multiple of its sum of digits (51).

58732148148 is a modest number, since divided by 148148 gives 58732 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 58732148148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58732148147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7572511 + ... + 7580262.

It is an arithmetic number, because the mean of its divisors is an integer number (3182082540).

Almost surely, 258732148148 is an apocalyptic number.

It is an amenable number.

58732148148 is an abundant number, since it is smaller than the sum of its proper divisors (94007813772).

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

58732148148 is a wasteful number, since it uses less digits than its factorization.

58732148148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152816 (or 15152814 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The spelling of 58732148148 in words is "fifty-eight billion, seven hundred thirty-two million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 15152773 30305546 45458319 60611092 90916638 181833276 257597141 287902687 515194282 575805374 772791423 863708061 1030388564 1151610748 1545582846 1727416122 3091165692 3454832244 4894345679 9788691358 14683037037 19577382716 29366074074 58732148148