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107713671507 = 33132233727739
BaseRepresentation
bin110010001010000111…
…1000011000101010011
3101022000202021110022000
41210110033003011103
53231044144442012
6121252153445043
710532150046501
oct1442417030523
9338022243260
10107713671507
1141754617732
1218a61110783
13a207930800
1452db6b3671
152c06526ddc
hex19143c3153

107713671507 has 96 divisors (see below), whose sum is σ = 185187801600. Its totient is φ = 61687536768.

The previous prime is 107713671467. The next prime is 107713671521. The reversal of 107713671507 is 705176317701.

107713671507 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 136 + 7 + 1 + 507 = 666.

It is not a de Polignac number, because 107713671507 - 28 = 107713671251 is a prime.

It is a super-3 number, since 3×1077136715073 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (107713671407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3869244 + ... + 3896982.

It is an arithmetic number, because the mean of its divisors is an integer number (1929039600).

Almost surely, 2107713671507 is an apocalyptic number.

107713671507 is a deficient number, since it is larger than the sum of its proper divisors (77474130093).

107713671507 is a wasteful number, since it uses less digits than its factorization.

107713671507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27834 (or 27815 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The spelling of 107713671507 in words is "one hundred seven billion, seven hundred thirteen million, six hundred seventy-one thousand, five hundred seven".

Divisors: 1 3 9 13 23 27 37 39 69 111 117 169 207 299 333 351 481 507 621 851 897 999 1443 1521 2553 2691 3887 4329 4563 6253 7659 8073 11063 11661 12987 18759 22977 27739 33189 34983 56277 83217 99567 104949 143819 168831 249651 298701 360607 431457 637997 748953 1026343 1081821 1294371 1913991 3079029 3245463 3883113 4687891 5741973 8293961 9237087 9736389 13342459 14063673 17225919 23605889 24881883 27711261 40027377 42191019 70817667 74645649 107821493 120082131 126573057 173451967 212453001 223936947 306876557 323464479 360246393 520355901 637359003 920629671 970393437 1561067703 2761889013 2911180311 3989395241 4683203109 8285667039 11968185723 35904557169 107713671507