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137441050624 = 22165537
BaseRepresentation
bin1000000000000000100…
…0000000000000000000
3111010202111120210010101
42000000020000000000
54222434402104444
6143050050412144
712633626440333
oct2000010000000
9433674523111
10137441050624
1153319987649
1222778891054
13cc64692b77
14691b83461a
15389624e3d4
hex2000200000

137441050624 has 44 divisors (see below), whose sum is σ = 274886230014. Its totient is φ = 68719476736.

The previous prime is 137441050613. The next prime is 137441050661. The reversal of 137441050624 is 426050144731.

It can be written as a sum of positive squares in only one way, i.e., 69257396224 + 68183654400 = 263168^2 + 261120^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 137441050624 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2064384 + ... + 2129920.

Almost surely, 2137441050624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137441050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137443115007).

137441050624 is an abundant number, since it is smaller than the sum of its proper divisors (137445179390).

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

137441050624 is an frugal number, since it uses more digits than its factorization.

137441050624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65579 (or 65539 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 137441050624 in words is "one hundred thirty-seven billion, four hundred forty-one million, fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131072 131074 262144 262148 524288 524296 1048576 1048592 2097152 2097184 4194368 8388736 16777472 33554944 67109888 134219776 268439552 536879104 1073758208 2147516416 4295032832 8590065664 17180131328 34360262656 68720525312 137441050624