Search a number
-
+
108900333630 = 23351163158109
BaseRepresentation
bin110010101101011110…
…1110011100000111110
3101102002110012010201000
41211122331303200332
53241011441134010
6122010024031130
710603436364024
oct1453275634076
9342073163630
10108900333630
1142203443530
12191326024a6
13a36673504a
1453b1130714
152c757ca7c0
hex195af7383e

108900333630 has 128 divisors (see below), whose sum is σ = 317308492800. Its totient is φ = 26357788800.

The previous prime is 108900333623. The next prime is 108900333649. The reversal of 108900333630 is 36333009801.

108900333630 is a `hidden beast` number, since 10 + 8 + 9 + 0 + 0 + 3 + 3 + 3 + 630 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845016 + ... + 1903124.

It is an arithmetic number, because the mean of its divisors is an integer number (2478972600).

Almost surely, 2108900333630 is an apocalyptic number.

108900333630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108900333630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158654246400).

108900333630 is an abundant number, since it is smaller than the sum of its proper divisors (208408159170).

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

108900333630 is a wasteful number, since it uses less digits than its factorization.

108900333630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58767 (or 58761 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 108900333630 in words is "one hundred eight billion, nine hundred million, three hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 631 990 1262 1485 1893 2970 3155 3786 5679 6310 6941 9465 11358 13882 17037 18930 20823 28395 34074 34705 41646 56790 58109 62469 69410 85185 104115 116218 124938 170370 174327 187407 208230 290545 312345 348654 374814 522981 581090 624690 639199 871635 937035 1045962 1278398 1568943 1743270 1874070 1917597 2614905 3137886 3195995 3835194 5229810 5752791 6391990 7844715 9587985 11505582 15689430 17258373 19175970 28763955 34516746 36666779 57527910 73333558 86291865 110000337 172583730 183333895 220000674 330001011 366667790 403334569 550001685 660002022 806669138 990003033 1100003370 1210003707 1650005055 1980006066 2016672845 2420007414 3300010110 3630011121 4033345690 4950015165 6050018535 7260022242 9900030330 10890033363 12100037070 18150055605 21780066726 36300111210 54450166815 108900333630