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137297247736 = 231110716787313
BaseRepresentation
bin111111111011110001…
…1011011110111111000
3111010101110222211122111
41333313203123313320
54222141043411421
6143023512302104
712630232231045
oct1776743336770
9433343884574
10137297247736
1153255798390
12227386a1934
13cc409538bc
1469066c01cc
1538887e5ee1
hex1ff78dbdf8

137297247736 has 64 divisors (see below), whose sum is σ = 285160538880. Its totient is φ = 61453678080.

The previous prime is 137297247701. The next prime is 137297247743. The reversal of 137297247736 is 637742792731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528816 + ... + 1616128.

It is an arithmetic number, because the mean of its divisors is an integer number (4455633420).

Almost surely, 2137297247736 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 137297247736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142580269440).

137297247736 is an abundant number, since it is smaller than the sum of its proper divisors (147863291144).

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

137297247736 is a wasteful number, since it uses less digits than its factorization.

137297247736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87604 (or 87600 counting only the distinct ones).

The product of its digits is 18670176, while the sum is 58.

The spelling of 137297247736 in words is "one hundred thirty-seven billion, two hundred ninety-seven million, two hundred forty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 107 167 214 334 428 668 856 1177 1336 1837 2354 3674 4708 7348 9416 14696 17869 35738 71476 87313 142952 174626 196559 349252 393118 698504 786236 960443 1572472 1920886 3841772 7683544 9342491 14581271 18684982 29162542 37369964 58325084 74739928 102767401 116650168 160393981 205534802 320787962 411069604 641575924 822139208 1283151848 1560195997 3120391994 6240783988 12481567976 17162155967 34324311934 68648623868 137297247736