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32130414432 = 2532279739887
BaseRepresentation
bin11101111011000111…
…110011011101100000
310001221020001011120100
4131323013303131200
51011300341230212
622432134142400
72215136005434
oct357307633540
9101836034510
1032130414432
1112698865a16
1262884b1a00
13305087175c
1417ab3709c4
15c80b9cbdc
hex77b1f3760

32130414432 has 72 divisors (see below), whose sum is σ = 91405825056. Its totient is φ = 10706040576.

The previous prime is 32130414391. The next prime is 32130414457. The reversal of 32130414432 is 23441403123.

32130414432 is a `hidden beast` number, since 3 + 213 + 0 + 4 + 1 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 32130414396 and 32130414405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785593 + ... + 825479.

It is an arithmetic number, because the mean of its divisors is an integer number (1269525348).

Almost surely, 232130414432 is an apocalyptic number.

32130414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32130414432 is an abundant number, since it is smaller than the sum of its proper divisors (59275410624).

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

32130414432 is a wasteful number, since it uses less digits than its factorization.

32130414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42700 (or 42689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32130414432 its reverse (23441403123), we get a palindrome (55571817555).

The spelling of 32130414432 in words is "thirty-two billion, one hundred thirty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2797 5594 8391 11188 16782 22376 25173 33564 39887 44752 50346 67128 79774 89504 100692 119661 134256 159548 201384 239322 268512 319096 358983 402768 478644 638192 717966 805536 957288 1276384 1435932 1914576 2871864 3829152 5743728 11487456 111563939 223127878 334691817 446255756 669383634 892511512 1004075451 1338767268 1785023024 2008150902 2677534536 3570046048 4016301804 5355069072 8032603608 10710138144 16065207216 32130414432