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661331052600 = 233521153955957
BaseRepresentation
bin10011001111110100110…
…01110000100000111000
32100020000022001100010220
421213322121300200320
541313401222140400
61223451123340040
765531254124361
oct11477231604070
92306008040126
10661331052600
11235518158129
12a8206521620
134a4950a578a
142401981cb68
15123093967a0
hex99fa670838

661331052600 has 96 divisors (see below), whose sum is σ = 2051906489520. Its totient is φ = 176201809920.

The previous prime is 661331052553. The next prime is 661331052611. The reversal of 661331052600 is 6250133166.

It is a super-2 number, since 2×6613310526002 (a number of 24 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213822 + ... + 1169778.

Almost surely, 2661331052600 is an apocalyptic number.

661331052600 is a gapful number since it is divisible by the number (60) 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 661331052600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025953244760).

661331052600 is an abundant number, since it is smaller than the sum of its proper divisors (1390575436920).

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

661331052600 is a wasteful number, since it uses less digits than its factorization.

661331052600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957129 (or 957120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 661331052600 its reverse (6250133166), we get a palindrome (667581185766).

The spelling of 661331052600 in words is "six hundred sixty-one billion, three hundred thirty-one million, fifty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1153 2306 3459 4612 5765 6918 9224 11530 13836 17295 23060 27672 28825 34590 46120 57650 69180 86475 115300 138360 172950 230600 345900 691800 955957 1911914 2867871 3823828 4779785 5735742 7647656 9559570 11471484 14339355 19119140 22942968 23898925 28678710 38238280 47797850 57357420 71696775 95595700 114714840 143393550 191191400 286787100 573574200 1102218421 2204436842 3306655263 4408873684 5511092105 6613310526 8817747368 11022184210 13226621052 16533276315 22044368420 26453242104 27555460525 33066552630 44088736840 55110921050 66133105260 82666381575 110221842100 132266210520 165332763150 220443684200 330665526300 661331052600