Search a number
-
+
145372367660 = 225132069270239
BaseRepresentation
bin1000011101100011011…
…1100100101100101100
3111220020020202102201012
42013120313210230230
54340210311231120
6150441054204352
713334314510532
oct2073067445454
9456206672635
10145372367660
1156719a03513
1224210ab36b8
1310929908a80
147070d40152
153bac6ce1c5
hex21d8de4b2c

145372367660 has 48 divisors (see below), whose sum is σ = 328925318400. Its totient is φ = 53649809664.

The previous prime is 145372367659. The next prime is 145372367663. The reversal of 145372367660 is 66763273541.

145372367660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453723676602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145372367599 and 145372367608.

It is not an unprimeable number, because it can be changed into a prime (145372367663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402821 + ... + 673059.

It is an arithmetic number, because the mean of its divisors is an integer number (6852610800).

Almost surely, 2145372367660 is an apocalyptic number.

145372367660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145372367660 is an abundant number, since it is smaller than the sum of its proper divisors (183552950740).

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

145372367660 is a wasteful number, since it uses less digits than its factorization.

145372367660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272330 (or 272328 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 145372367660 in words is "one hundred forty-five billion, three hundred seventy-two million, three hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2069 4138 8276 10345 20690 26897 41380 53794 107588 134485 268970 270239 537940 540478 1080956 1351195 2702390 3513107 5404780 7026214 14052428 17565535 35131070 70262140 559124491 1118248982 2236497964 2795622455 5591244910 7268618383 11182489820 14537236766 29074473532 36343091915 72686183830 145372367660