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332938232064 = 283440072
BaseRepresentation
bin1001101100001001010…
…10100100000100000000
31011211101001000120210000
410312010222210010000
520423324141411224
6412541045440000
733024343164414
oct4660452440400
91154331016700
10332938232064
1111921aa52599
1254638410000
132551bb5c659
14121858b4d44
1589d922a0c9
hex4d84aa4100

332938232064 has 135 divisors (see below), whose sum is σ = 993009384367. Its totient is φ = 110951714304.

The previous prime is 332938232059. The next prime is 332938232111. The reversal of 332938232064 is 460232839233.

The square root of 332938232064 is 577008.

It is a perfect power (a square), and thus also a powerful number.

332938232064 is a `hidden beast` number, since 3 + 329 + 38 + 232 + 0 + 64 = 666.

It is a super-2 number, since 2×3329382320642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83087149 + ... + 83091155.

Almost surely, 2332938232064 is an apocalyptic number.

332938232064 is the 577008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332938232064

332938232064 is an abundant number, since it is smaller than the sum of its proper divisors (660071152303).

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

332938232064 is an frugal number, since it uses more digits than its factorization.

332938232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 332938232064 in words is "three hundred thirty-two billion, nine hundred thirty-eight million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4007 5184 6912 8014 10368 12021 16028 20736 24042 32056 36063 48084 64112 72126 96168 108189 128224 144252 192336 216378 256448 288504 324567 384672 432756 512896 577008 649134 769344 865512 1025792 1154016 1298268 1538688 1731024 2308032 2596536 3077376 3462048 4616064 5193072 6924096 9232128 10386144 13848192 16056049 20772288 27696384 32112098 41544576 48168147 64224196 83089152 96336294 128448392 144504441 192672588 256896784 289008882 385345176 433513323 513793568 578017764 770690352 867026646 1027587136 1156035528 1300539969 1541380704 1734053292 2055174272 2312071056 2601079938 3082761408 3468106584 4110348544 4624142112 5202159876 6165522816 6936213168 9248284224 10404319752 12331045632 13872426336 18496568448 20808639504 27744852672 36993136896 41617279008 55489705344 83234558016 110979410688 166469116032 332938232064