Search a number
-
+
107034433670 = 25831071796733
BaseRepresentation
bin110001110101110111…
…1111101100010000110
3101020021102011121011002
41203223233331202012
53223201303334140
6121100531213302
710506261450323
oct1435357754206
9336242147132
10107034433670
114143616924a
12188b1747232
13a129cb0728
1452753c1b4a
152bb6aa6415
hex18ebbfd886

107034433670 has 64 divisors (see below), whose sum is σ = 197934347520. Its totient is φ = 41662355328.

The previous prime is 107034433619. The next prime is 107034433673. The reversal of 107034433670 is 76334430701.

It is a super-3 number, since 3×1070344336703 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107034433673) 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, 15893624 + ... + 15900356.

It is an arithmetic number, because the mean of its divisors is an integer number (3092724180).

Almost surely, 2107034433670 is an apocalyptic number.

107034433670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107034433670 is a deficient number, since it is larger than the sum of its proper divisors (90899913850).

107034433670 is a wasteful number, since it uses less digits than its factorization.

107034433670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109.

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 107034433670 in words is "one hundred seven billion, thirty-four million, four hundred thirty-three thousand, six hundred seventy".

Divisors: 1 2 5 10 83 107 166 179 214 358 415 535 830 895 1070 1790 6733 8881 13466 14857 17762 19153 29714 33665 38306 44405 67330 74285 88810 95765 148570 191530 558839 720431 1117678 1205207 1440862 1589699 2410414 2794195 3179398 3602155 5588390 6026035 7204310 7948495 12052070 15896990 59795773 100032181 119591546 128957149 200064362 257914298 298978865 500160905 597957730 644785745 1000321810 1289571490 10703443367 21406886734 53517216835 107034433670