Search a number
-
+
6125670738540 = 223355329714159
BaseRepresentation
bin101100100100011111001…
…1011011010101001101100
3210200121102112012112021000
41121020332123122221230
51300330333202113130
621010032211040300
71201364555111043
oct131107633325154
923617375175230
106125670738540
111a51978488351
1282b2428a0090
1335585733b352
141726ac31555a
15a9521bd7260
hex5923e6daa6c

6125670738540 has 288 divisors, whose sum is σ = 19448684236800. Its totient is φ = 1600655696640.

The previous prime is 6125670738529. The next prime is 6125670738547. The reversal of 6125670738540 is 458370765216.

6125670738540 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 67 + 0 + 7 + 38 + 540 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is not an unprimeable number, because it can be changed into a prime (6125670738547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1472868981 + ... + 1472873139.

It is an arithmetic number, because the mean of its divisors is an integer number (67530153600).

Almost surely, 26125670738540 is an apocalyptic number.

6125670738540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125670738540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724342118400).

6125670738540 is an abundant number, since it is smaller than the sum of its proper divisors (13323013498260).

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

6125670738540 is a wasteful number, since it uses less digits than its factorization.

6125670738540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 6125670738540 in words is "six trillion, one hundred twenty-five billion, six hundred seventy million, seven hundred thirty-eight thousand, five hundred forty".