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9991971121418 = 21113313323339151
BaseRepresentation
bin1001000101100110111111…
…1000111010100100001010
31022101020000122110221221222
42101121233320322210022
52302202024101341133
633130125334202042
72050616234116106
oct221315770724412
938336018427858
109991971121418
113202631231780
121154616ab3322
135763149439b0
14267884aa8906
15124daa140e98
hex9166fe3a90a

9991971121418 has 64 divisors (see below), whose sum is σ = 18181759647744. Its totient is φ = 4055962680000.

The previous prime is 9991971121393. The next prime is 9991971121501. The reversal of 9991971121418 is 8141211791999.

9991971121418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29292143 + ... + 29631293.

It is an arithmetic number, because the mean of its divisors is an integer number (284089994496).

Almost surely, 29991971121418 is an apocalyptic number.

9991971121418 is a deficient number, since it is larger than the sum of its proper divisors (8189788526326).

9991971121418 is a wasteful number, since it uses less digits than its factorization.

9991971121418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342531.

The product of its digits is 2939328, while the sum is 62.

The spelling of 9991971121418 in words is "nine trillion, nine hundred ninety-one billion, nine hundred seventy-one million, one hundred twenty-one thousand, four hundred eighteen".

Divisors: 1 2 11 13 22 26 31 62 143 286 341 403 682 806 3323 4433 6646 8866 36553 43199 73106 86398 103013 206026 339151 475189 678302 950378 1133143 1339169 2266286 2678338 3730661 4408963 7461322 8817926 10513681 14730859 21027362 29461718 48498593 96997186 115650491 136677853 231300982 273355706 1126998773 1503456383 2253997546 3006912766 12396986503 14650984049 24793973006 29301968098 34936961963 69873923926 161160824539 322321649078 384306581593 454180505519 768613163186 908361011038 4995985560709 9991971121418