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137200406316 = 2237910710912409
BaseRepresentation
bin111111111000111001…
…0000000111100101100
3111010010201202210012020
41333301302000330230
54221441301000231
6143010132510140
712624645132411
oct1776162007454
9433121683166
10137200406316
1153206063a56
122271017b350
13cc2687799c
1468d78b2108
153880067396
hex1ff1c80f2c

137200406316 has 96 divisors (see below), whose sum is σ = 330244992000. Its totient is φ = 44318596608.

The previous prime is 137200406251. The next prime is 137200406351. The reversal of 137200406316 is 613604002731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11050320 + ... + 11062728.

It is an arithmetic number, because the mean of its divisors is an integer number (3440052000).

Almost surely, 2137200406316 is an apocalyptic number.

It is an amenable number.

137200406316 is an abundant number, since it is smaller than the sum of its proper divisors (193044585684).

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

137200406316 is a wasteful number, since it uses less digits than its factorization.

137200406316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12711 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 137200406316 in words is "one hundred thirty-seven billion, two hundred million, four hundred six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 79 107 109 158 214 218 237 316 321 327 428 436 474 642 654 948 1284 1308 8453 8611 11663 12409 16906 17222 23326 24818 25359 25833 33812 34444 34989 37227 46652 49636 50718 51666 69978 74454 101436 103332 139956 148908 921377 980311 1327763 1352581 1842754 1960622 2655526 2705162 2764131 2940933 3685508 3921244 3983289 4057743 5311052 5410324 5528262 5881866 7966578 8115486 11056524 11763732 15933156 16230972 104893277 106853899 144726167 209786554 213707798 289452334 314679831 320561697 419573108 427415596 434178501 578904668 629359662 641123394 868357002 1258719324 1282246788 1736714004 11433367193 22866734386 34300101579 45733468772 68600203158 137200406316