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137313444545 = 5281138170769
BaseRepresentation
bin111111111100010000…
…1001110001011000001
3111010102121110201111022
41333320201032023001
54222204220211140
6143025251355225
712630520010054
oct1777041161301
9433377421438
10137313444545
1153263950282
1222741bb2b15
13cc44104c04
1469088d8a9b
153889e450b5
hex1ff884e2c1

137313444545 has 16 divisors (see below), whose sum is σ = 165484604880. Its totient is φ = 109379020800.

The previous prime is 137313444511. The next prime is 137313444551. The reversal of 137313444545 is 545444313731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7621988416 + 129691456129 = 87304^2 + 360127^2 .

It is not a de Polignac number, because 137313444545 - 222 = 137309250241 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137313444496 and 137313444505.

It is an unprimeable number.

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, 1904921 + ... + 1975689.

It is an arithmetic number, because the mean of its divisors is an integer number (10342787805).

Almost surely, 2137313444545 is an apocalyptic number.

It is an amenable number.

137313444545 is a deficient number, since it is larger than the sum of its proper divisors (28171160335).

137313444545 is a wasteful number, since it uses less digits than its factorization.

137313444545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72436.

The product of its digits is 1209600, while the sum is 44.

The spelling of 137313444545 in words is "one hundred thirty-seven billion, three hundred thirteen million, four hundred forty-four thousand, five hundred forty-five".

Divisors: 1 5 281 1381 1405 6905 70769 353845 388061 1940305 19886089 97731989 99430445 488659945 27462688909 137313444545