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332100020992 = 2841308910243
BaseRepresentation
bin1001101010100101011…
…01000010101100000000
31011202012121210001100111
410311102231002230000
520420120101132432
6412321544001104
732664514413355
oct4652255025400
91152177701314
10332100020992
1111892a893173
1254443760194
13254172bb27c
141210644062c
15898a856347
hex4d52b42b00

332100020992 has 72 divisors (see below), whose sum is σ = 679357289520. Its totient is φ = 161931755520.

The previous prime is 332100020957. The next prime is 332100020999. The reversal of 332100020992 is 299020001233.

It is a happy number.

It is a super-2 number, since 2×3321000209922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332100020999) 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, 32417023 + ... + 32427265.

It is an arithmetic number, because the mean of its divisors is an integer number (9435517910).

Almost surely, 2332100020992 is an apocalyptic number.

332100020992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332100020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339678644760).

332100020992 is an abundant number, since it is smaller than the sum of its proper divisors (347257268528).

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

332100020992 is a wasteful number, since it uses less digits than its factorization.

332100020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389 (or 13375 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 332100020992 in words is "three hundred thirty-two billion, one hundred million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 3089 5248 6178 10243 10496 12356 20486 24712 40972 49424 81944 98848 126649 163888 197696 253298 327776 395392 419963 506596 655552 790784 839926 1013192 1311104 1679852 2026384 2622208 3359704 4052768 6719408 8105536 13438816 16211072 26877632 31640627 32422144 53755264 63281254 107510528 126562508 253125016 506250032 1012500064 1297265707 2025000128 2594531414 4050000256 5189062828 8100000512 10378125656 20756251312 41512502624 83025005248 166050010496 332100020992