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32145320000 = 26546911163
BaseRepresentation
bin11101111100000000…
…101010100001000000
310001222021002110011102
4131330000222201000
51011313200220000
622433425433532
72215406466053
oct357400524100
9101867073142
1032145320000
11126a6216772
12629149b8a8
133053990111
1417ad330a9a
15c821443d5
hex77c02a840

32145320000 has 140 divisors (see below), whose sum is σ = 79893938256. Its totient is φ = 12828480000.

The previous prime is 32145319967. The next prime is 32145320023. The reversal of 32145320000 is 2354123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 27639419 + ... + 27640581.

Almost surely, 232145320000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32145320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946969128).

32145320000 is an abundant number, since it is smaller than the sum of its proper divisors (47748618256).

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

32145320000 is an equidigital number, since it uses as much as digits as its factorization.

32145320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 32145320000 its reverse (2354123), we get a palindrome (32147674123).

The spelling of 32145320000 in words is "thirty-two billion, one hundred forty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 691 800 1000 1163 1250 1382 1600 2000 2326 2500 2764 3455 4000 4652 5000 5528 5815 6910 8000 9304 10000 11056 11630 13820 17275 18608 20000 22112 23260 27640 29075 34550 37216 40000 44224 46520 55280 58150 69100 74432 86375 93040 110560 116300 138200 145375 172750 186080 221120 232600 276400 290750 345500 372160 431875 465200 552800 581500 691000 726875 803633 863750 930400 1105600 1163000 1382000 1453750 1607266 1727500 1860800 2326000 2764000 2907500 3214532 3455000 4018165 4652000 5528000 5815000 6429064 6910000 8036330 9304000 11630000 12858128 13820000 16072660 20090825 23260000 25716256 27640000 32145320 40181650 46520000 51432512 64290640 80363300 100454125 128581280 160726600 200908250 257162560 321453200 401816500 502270625 642906400 803633000 1004541250 1285812800 1607266000 2009082500 3214532000 4018165000 6429064000 8036330000 16072660000 32145320000