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32669342368 = 2513199742611
BaseRepresentation
bin11110011011001111…
…101001101010100000
310010022210010112201021
4132123033221222200
51013401322423433
623001425215224
72234401554055
oct363317515240
9103283115637
1032669342368
1112944aa0503
1263b8a91514
133108406420
14181cb7b02c
15cb315522d
hex79b3e9aa0

32669342368 has 96 divisors (see below), whose sum is σ = 73664216640. Its totient is φ = 14136975360.

The previous prime is 32669342287. The next prime is 32669342369. The reversal of 32669342368 is 86324396623.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (32669342369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 745383 + ... + 787993.

It is an arithmetic number, because the mean of its divisors is an integer number (767335590).

Almost surely, 232669342368 is an apocalyptic number.

32669342368 is a gapful number since it is divisible by the number (38) 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 32669342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832108320).

32669342368 is an abundant number, since it is smaller than the sum of its proper divisors (40994874272).

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

32669342368 is a wasteful number, since it uses less digits than its factorization.

32669342368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42750 (or 42742 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The spelling of 32669342368 in words is "thirty-two billion, six hundred sixty-nine million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 97 104 152 194 208 247 304 388 416 494 608 776 988 1261 1552 1843 1976 2522 3104 3686 3952 5044 7372 7904 10088 14744 20176 23959 29488 40352 42611 47918 58976 85222 95836 170444 191672 340888 383344 553943 681776 766688 809609 1107886 1363552 1619218 2215772 3238436 4133267 4431544 6476872 8266534 8863088 10524917 12953744 16533068 17726176 21049834 25907488 33066136 42099668 53732471 66132272 78532073 84199336 107464942 132264544 157064146 168398672 214929884 314128292 336797344 429859768 628256584 859719536 1020916949 1256513168 1719439072 2041833898 2513026336 4083667796 8167335592 16334671184 32669342368