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332012332000032 = 25310938382843361
BaseRepresentation
bin100101101111101101010010…
…1000111000010001100100000
31121112120001212021022201002020
41023133122211013002030200
5322004142223443000112
63134044205410021440
7126635046045016245
oct11337324507021440
91545501767281066
10332012332000032
1196875703963522
12312a226a277880
1311334822c63168
145bdb6a83d35cc
15285b6090b648c
hex12df6a51c2320

332012332000032 has 96 divisors (see below), whose sum is σ = 881824509941760. Its totient is φ = 109369141125120.

The previous prime is 332012332000009. The next prime is 332012332000067. The reversal of 332012332000032 is 230000233210233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320123320000322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 332012331999966 and 332012332000011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37413969 + ... + 45429392.

It is an arithmetic number, because the mean of its divisors is an integer number (9185671978560).

Almost surely, 2332012332000032 is an apocalyptic number.

332012332000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332012332000032 is an abundant number, since it is smaller than the sum of its proper divisors (549812177941728).

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

332012332000032 is a wasteful number, since it uses less digits than its factorization.

332012332000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82843866 (or 82843858 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332012332000032 its reverse (230000233210233), we get a palindrome (562012565210265).

The spelling of 332012332000032 in words is "three hundred thirty-two trillion, twelve billion, three hundred thirty-two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 383 436 654 766 872 1149 1308 1532 1744 2298 2616 3064 3488 4596 5232 6128 9192 10464 12256 18384 36768 41747 83494 125241 166988 250482 333976 500964 667952 1001928 1335904 2003856 4007712 82843361 165686722 248530083 331373444 497060166 662746888 994120332 1325493776 1988240664 2650987552 3976481328 7952962656 9029926349 18059852698 27089779047 31729007263 36119705396 54179558094 63458014526 72239410792 95187021789 108359116188 126916029052 144478821584 190374043578 216718232376 253832058104 288957643168 380748087156 433436464752 507664116208 761496174312 866872929504 1015328232416 1522992348624 3045984697248 3458461791667 6916923583334 10375385375001 13833847166668 20750770750002 27667694333336 41501541500004 55335388666672 83003083000008 110670777333344 166006166000016 332012332000032