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993076297104331 = 1117712931327192373
BaseRepresentation
bin1110000111001100101001011…
…1111011000111101111001011
311211020012011111121122210112201
43201303022113323013233023
52020131030224024314311
613440032541445421031
7416114252260506556
oct34163122773075713
94736164447583481
10993076297104331
112684743242a7020
1293468a0a70a777
133381790166822b
141373321372369d
1579c22d7e819c1
hex3873297ec7bcb

993076297104331 has 64 divisors (see below), whose sum is σ = 1168094632513536. Its totient is φ = 834230873548800.

The previous prime is 993076297104319. The next prime is 993076297104341. The reversal of 993076297104331 is 133401792670399.

It is not a de Polignac number, because 993076297104331 - 211 = 993076297102283 is a prime.

It is a super-2 number, since 2×9930762971043312 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993076297104341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5162147461 + ... + 5162339833.

It is an arithmetic number, because the mean of its divisors is an integer number (18251478633024).

Almost surely, 2993076297104331 is an apocalyptic number.

993076297104331 is a deficient number, since it is larger than the sum of its proper divisors (175018335409205).

993076297104331 is a wasteful number, since it uses less digits than its factorization.

993076297104331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194092.

The product of its (nonzero) digits is 46294416, while the sum is 64.

The spelling of 993076297104331 in words is "nine hundred ninety-three trillion, seventy-six billion, two hundred ninety-seven million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 11 17 71 187 293 781 1207 1327 3223 4981 13277 14597 20803 22559 54791 94217 192373 228833 248149 353651 388811 1036387 1601689 2116103 3270341 3890161 4276921 6609787 13658483 17618579 27605581 35973751 56365289 72707657 150243313 232194211 255278971 303661391 469294877 620018179 958209913 2554136321 2808068681 4001935519 4339742507 5162243647 10540309043 18124806941 44021290709 47737167577 68032903823 74796738503 199372876351 308121717997 748361942053 822764123533 1271544554551 3389338897967 5310568433713 13986990100061 58416252770843 90279663373121 993076297104331