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332112023132992 = 2637269521375501
BaseRepresentation
bin100101110000011011101101…
…1001010100001101101000000
31121112220121011220202222101221
41023200313123022201231000
5322012310410410223432
63134202053541004424
7126645205351454614
oct11340673312415500
91545817156688357
10332112023132992
1196903a10a09203
12312b96506b3714
131134104c78bb2b
145c02444413344
15285dee113eb97
hex12e0ddb2a1b40

332112023132992 has 56 divisors (see below), whose sum is σ = 679362706616040. Its totient is φ = 160967386368000.

The previous prime is 332112023132963. The next prime is 332112023132993. The reversal of 332112023132992 is 299231320211233.

It can be written as a sum of positive squares in 4 ways, for example, as 744465254976 + 331367557878016 = 862824^2 + 18203504^2 .

It is a super-2 number, since 2×3321120231329922 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332112023132993) 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, 260050759 + ... + 261324742.

Almost surely, 2332112023132992 is an apocalyptic number.

332112023132992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332112023132992 is an abundant number, since it is smaller than the sum of its proper divisors (347250683483048).

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

332112023132992 is a wasteful number, since it uses less digits than its factorization.

332112023132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521375819 (or 521375809 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 332112023132992 in words is "three hundred thirty-two trillion, one hundred twelve billion, twenty-three million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 269 296 538 592 1076 1184 2152 2368 4304 8608 9953 17216 19906 39812 79624 159248 318496 636992 521375501 1042751002 2085502004 4171004008 8342008016 16684016032 19290893537 33368032064 38581787074 77163574148 140250009769 154327148296 280500019538 308654296592 561000039076 617308593184 1122000078152 1234617186368 2244000156304 4488000312608 5189250361453 8976000625216 10378500722906 20757001445812 41514002891624 83028005783248 166056011566496 332112023132992