Search a number
-
+
33676094100 = 223521135328909
BaseRepresentation
bin11111010111010000…
…000110101010010100
310012220221111211110110
4133113100012222110
51022432040002400
623245351323020
72301345035235
oct372720065224
9105827454413
1033676094100
1113311305a30
12663a080470
133238b687cc
1418b676508c
15d2171be50
hex7d7406a94

33676094100 has 144 divisors (see below), whose sum is σ = 106598802240. Its totient is φ = 8140492800.

The previous prime is 33676094041. The next prime is 33676094131. The reversal of 33676094100 is 149067633.

It is a super-2 number, since 2×336760941002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150446 + ... + 1179354.

It is an arithmetic number, because the mean of its divisors is an integer number (740269460).

Almost surely, 233676094100 is an apocalyptic number.

33676094100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33676094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53299401120).

33676094100 is an abundant number, since it is smaller than the sum of its proper divisors (72922708140).

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

33676094100 is a wasteful number, since it uses less digits than its factorization.

33676094100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29290 (or 29283 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 33676094100 in words is "thirty-three billion, six hundred seventy-six million, ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 353 550 660 706 825 1059 1100 1412 1650 1765 2118 3300 3530 3883 4236 5295 7060 7766 8825 10590 11649 15532 17650 19415 21180 23298 26475 28909 35300 38830 46596 52950 57818 58245 77660 86727 97075 105900 115636 116490 144545 173454 194150 232980 289090 291225 317999 346908 388300 433635 578180 582450 635998 722725 867270 953997 1164900 1271996 1445450 1589995 1734540 1907994 2168175 2890900 3179990 3815988 4336350 4769985 6359980 7949975 8672700 9539970 10204877 15899950 19079940 20409754 23849925 30614631 31799900 40819508 47699850 51024385 61229262 95399700 102048770 112253647 122458524 153073155 204097540 224507294 255121925 306146310 336760941 449014588 510243850 561268235 612292620 673521882 765365775 1020487700 1122536470 1347043764 1530731550 1683804705 2245072940 2806341175 3061463100 3367609410 5612682350 6735218820 8419023525 11225364700 16838047050 33676094100