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32340055050 = 232522315120693
BaseRepresentation
bin11110000111100111…
…100001010000001010
310002110211112000102200
4132013213201100022
51012213023230200
622505023341030
72223262634532
oct360747412012
9102424460380
1032340055050
1112796133026
126326751776
133085122b64
1417cb1424c2
15c942ad800
hex7879e140a

32340055050 has 144 divisors (see below), whose sum is σ = 91269479808. Its totient is φ = 8194032000.

The previous prime is 32340055037. The next prime is 32340055061. The reversal of 32340055050 is 5055004323.

32340055050 is a `hidden beast` number, since 3 + 23 + 40 + 0 + 550 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552504 + ... + 1573196.

It is an arithmetic number, because the mean of its divisors is an integer number (633815832).

Almost surely, 232340055050 is an apocalyptic number.

32340055050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32340055050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45634739904).

32340055050 is an abundant number, since it is smaller than the sum of its proper divisors (58929424758).

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

32340055050 is a wasteful number, since it uses less digits than its factorization.

32340055050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20885 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 32340055050 its reverse (5055004323), we get a palindrome (37395059373).

The spelling of 32340055050 in words is "thirty-two billion, three hundred forty million, fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 151 207 225 230 302 345 414 450 453 575 690 755 906 1035 1150 1359 1510 1725 2070 2265 2718 3450 3473 3775 4530 5175 6795 6946 7550 10350 10419 11325 13590 17365 20693 20838 22650 31257 33975 34730 41386 52095 62079 62514 67950 86825 103465 104190 124158 156285 173650 186237 206930 260475 310395 312570 372474 475939 517325 520950 620790 781425 931185 951878 1034650 1427817 1551975 1562850 1862370 2379695 2855634 3103950 3124643 4283451 4655925 4759390 6249286 7139085 8566902 9311850 9373929 11898475 14278170 15623215 18747858 21417255 23796950 28121787 31246430 35695425 42834510 46869645 56243574 71390850 71866789 78116075 93739290 107086275 140608935 143733578 156232150 214172550 215600367 234348225 281217870 359333945 431200734 468696450 646801101 703044675 718667890 1078001835 1293602202 1406089350 1796669725 2156003670 3234005505 3593339450 5390009175 6468011010 10780018350 16170027525 32340055050