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137279223264 = 2535924237151
BaseRepresentation
bin111111111011001111…
…0101011010111100000
3111010100020002002201110
41333312132223113200
54222121440121024
6143022030103320
712626623100421
oct1776636532740
9433306062643
10137279223264
11532465a7327
122273264ab40
13cc39cb2731
14690414b648
153886e35629
hex1ff67ab5e0

137279223264 has 48 divisors (see below), whose sum is σ = 366465738240. Its totient is φ = 44984150400.

The previous prime is 137279223227. The next prime is 137279223269. The reversal of 137279223264 is 462322972731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137279223269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12112912 + ... + 12124239.

It is an arithmetic number, because the mean of its divisors is an integer number (7634702880).

Almost surely, 2137279223264 is an apocalyptic number.

It is an amenable number.

137279223264 is an abundant number, since it is smaller than the sum of its proper divisors (229186514976).

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

137279223264 is a wasteful number, since it uses less digits than its factorization.

137279223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24237223 (or 24237215 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 137279223264 in words is "one hundred thirty-seven billion, two hundred seventy-nine million, two hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 24237151 48474302 72711453 96948604 145422906 193897208 290845812 387794416 581691624 775588832 1163383248 1429991909 2326766496 2859983818 4289975727 5719967636 8579951454 11439935272 17159902908 22879870544 34319805816 45759741088 68639611632 137279223264