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137563130334 = 2373738780999
BaseRepresentation
bin1000000000011101100…
…1101100100111011110
3111011002000022002000010
42000013121230213132
54223212130132314
6143110131144050
712636641213010
oct2000731544736
9434060262003
10137563130334
1153381889973
12227b1745026
13cc83a67596
14692db321b0
1538a1d16059
hex200766c9de

137563130334 has 32 divisors (see below), whose sum is σ = 315273024000. Its totient is φ = 39198375072.

The previous prime is 137563130251. The next prime is 137563130357. The reversal of 137563130334 is 433031365731.

It is a super-2 number, since 2×1375631303342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137563130292 and 137563130301.

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, 4374834 + ... + 4406165.

It is an arithmetic number, because the mean of its divisors is an integer number (9852282000).

Almost surely, 2137563130334 is an apocalyptic number.

137563130334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137563130334 is an abundant number, since it is smaller than the sum of its proper divisors (177709893666).

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

137563130334 is a wasteful number, since it uses less digits than its factorization.

137563130334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781384.

The product of its (nonzero) digits is 204120, while the sum is 39.

The spelling of 137563130334 in words is "one hundred thirty-seven billion, five hundred sixty-three million, one hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 373 746 1119 2238 2611 5222 7833 15666 8780999 17561998 26342997 52685994 61466993 122933986 184400979 368801958 3275312627 6550625254 9825937881 19651875762 22927188389 45854376778 68781565167 137563130334