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32420442432 = 263724122353
BaseRepresentation
bin11110001100011010…
…001011000101000000
310002200102210010012010
4132030122023011000
51012344113124212
622521014332520
72225260133220
oct361432130500
9102612703163
1032420442432
1112827549284
12634965a140
13309898a661
1417d7aaa080
15c9b38c03c
hex78c68b140

32420442432 has 56 divisors (see below), whose sum is σ = 98033246656. Its totient is φ = 9262983168.

The previous prime is 32420442407. The next prime is 32420442437. The reversal of 32420442432 is 23424402423.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 32420442432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32420442437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12059833 + ... + 12062520.

Almost surely, 232420442432 is an apocalyptic number.

32420442432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32420442432 is an abundant number, since it is smaller than the sum of its proper divisors (65612804224).

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

32420442432 is a wasteful number, since it uses less digits than its factorization.

32420442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24122375 (or 24122365 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 32420442432 its reverse (23424402423), we get a palindrome (55844844855).

The spelling of 32420442432 in words is "thirty-two billion, four hundred twenty million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 24122353 48244706 72367059 96489412 144734118 168856471 192978824 289468236 337712942 385957648 506569413 578936472 675425884 771915296 1013138826 1157872944 1350851768 1543830592 2026277652 2315745888 2701703536 4052555304 4631491776 5403407072 8105110608 10806814144 16210221216 32420442432