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13132400850 = 23252233074133
BaseRepresentation
bin11000011101100000…
…01000100011010010
31020220012221002021200
430032300020203102
5203343343311400
610011040532030
7643301364642
oct141660104322
936805832250
1013132400850
115629997148
122666021016
13131394b1ba
148c8192522
1551cda6b00
hex30ec088d2

13132400850 has 144 divisors (see below), whose sum is σ = 36945260352. Its totient is φ = 3337994880.

The previous prime is 13132400833. The next prime is 13132400863. The reversal of 13132400850 is 5800423131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3175384 + ... + 3179516.

It is an arithmetic number, because the mean of its divisors is an integer number (256564308).

Almost surely, 213132400850 is an apocalyptic number.

13132400850 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 13132400850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472630176).

13132400850 is an abundant number, since it is smaller than the sum of its proper divisors (23812859502).

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

13132400850 is a wasteful number, since it uses less digits than its factorization.

13132400850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13132400850 its reverse (5800423131), we get a palindrome (18932823981).

The spelling of 13132400850 in words is "thirteen billion, one hundred thirty-two million, four hundred thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 307 345 414 450 575 614 690 921 1035 1150 1535 1725 1842 2070 2763 3070 3450 4133 4605 5175 5526 7061 7675 8266 9210 10350 12399 13815 14122 15350 20665 21183 23025 24798 27630 35305 37197 41330 42366 46050 61995 63549 69075 70610 74394 95059 103325 105915 123990 127098 138150 176525 185985 190118 206650 211830 285177 309975 317745 353050 371970 475295 529575 570354 619950 635490 855531 929925 950590 1059150 1268831 1425885 1588725 1711062 1859850 2376475 2537662 2851770 3177450 3806493 4277655 4752950 6344155 7129425 7612986 8555310 11419479 12688310 14258850 19032465 21388275 22838958 29183113 31720775 38064930 42776550 57097395 58366226 63441550 87549339 95162325 114194790 145915565 175098678 190324650 262648017 285486975 291831130 437746695 525296034 570973950 729577825 875493390 1313240085 1459155650 2188733475 2626480170 4377466950 6566200425 13132400850