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137047296337 = 7317938320873
BaseRepresentation
bin111111110100010100…
…1111100100101010001
3111002202001122222210021
41333220221330211101
54221133101440322
6142543023103441
712621105540550
oct1775051744521
9432661588707
10137047296337
1153137698186
1222688a41b81
13cc00c2a373
1468c1417d97
1538718c14c7
hex1fe8a7c951

137047296337 has 32 divisors (see below), whose sum is σ = 164159815680. Its totient is φ = 111942380160.

The previous prime is 137047296301. The next prime is 137047296349. The reversal of 137047296337 is 733692740731.

It is a cyclic number.

It is not a de Polignac number, because 137047296337 - 27 = 137047296209 is a prime.

It is a super-2 number, since 2×1370472963372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137047296367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6555333 + ... + 6576205.

It is an arithmetic number, because the mean of its divisors is an integer number (5129994240).

Almost surely, 2137047296337 is an apocalyptic number.

It is an amenable number.

137047296337 is a deficient number, since it is larger than the sum of its proper divisors (27112519343).

137047296337 is a wasteful number, since it uses less digits than its factorization.

137047296337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21373.

The product of its (nonzero) digits is 4000752, while the sum is 52.

The spelling of 137047296337 in words is "one hundred thirty-seven billion, forty-seven million, two hundred ninety-six thousand, three hundred thirty-seven".

Divisors: 1 7 31 79 217 383 553 2449 2681 11873 17143 20873 30257 83111 146111 211799 647063 937967 1648967 4529441 6565769 7994359 11542769 51117977 55960513 247825129 357825839 631554361 1734775903 4420880527 19578185191 137047296337