Search a number
-
+
6652142900 = 2252138361651
BaseRepresentation
bin1100011000111111…
…11010010100110100
3122011121011212112222
412030133322110310
5102110422033100
63020030301512
7323563165424
oct61437722464
918147155488
106652142900
112903a63467
121357957898
13820220240
1447168a484
1528e005485
hex18c7fa534

6652142900 has 72 divisors (see below), whose sum is σ = 15733097184. Its totient is φ = 2426544000.

The previous prime is 6652142879. The next prime is 6652142933. The reversal of 6652142900 is 92412566.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77075 + ... + 138725.

Almost surely, 26652142900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6652142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866548592).

6652142900 is an abundant number, since it is smaller than the sum of its proper divisors (9080954284).

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

6652142900 is a wasteful number, since it uses less digits than its factorization.

6652142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61761 (or 61754 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 6652142900 is about 81560.6700561000. The cubic root of 6652142900 is about 1880.7043252785.

The spelling of 6652142900 in words is "six billion, six hundred fifty-two million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 4150 4316 5395 8300 10790 21580 26975 53950 61651 107900 123302 246604 308255 616510 801463 1233020 1541275 1602926 3082550 3205852 4007315 5117033 6165100 8014630 10234066 16029260 20036575 20468132 25585165 40073150 51170330 66521429 80146300 102340660 127925825 133042858 255851650 266085716 332607145 511703300 665214290 1330428580 1663035725 3326071450 6652142900