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74101310000991 = 32713533323513731
BaseRepresentation
bin10000110110010100001110…
…010000101000111101011111
3100201101000102200221202111200
4100312110032100220331133
534203033440330012431
6421333401042250543
721415433353320420
oct2066241620507537
9321330380852450
1074101310000991
112167a209750a39
1283893b6956a53
13324695383bc90
141442745bcb647
15887829c03ee6
hex43650e428f5f

74101310000991 has 96 divisors (see below), whose sum is σ = 134261893688832. Its totient is φ = 38337310851840.

The previous prime is 74101310000951. The next prime is 74101310001013. The reversal of 74101310000991 is 19900001310147.

It is not a de Polignac number, because 74101310000991 - 223 = 74101301612383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74101310000941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143984596 + ... + 144498326.

It is an arithmetic number, because the mean of its divisors is an integer number (1398561392592).

Almost surely, 274101310000991 is an apocalyptic number.

74101310000991 is a deficient number, since it is larger than the sum of its proper divisors (60160583687841).

74101310000991 is a wasteful number, since it uses less digits than its factorization.

74101310000991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517133 (or 517130 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 74101310000991 in words is "seventy-four trillion, one hundred one billion, three hundred ten million, nine hundred ninety-one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 39 53 63 91 117 159 273 371 477 689 819 1113 2067 3323 3339 4823 6201 9969 14469 23261 29907 43199 43407 69783 129597 176119 209349 302393 388791 513731 528357 907179 1232833 1541193 1585071 2289547 2721537 3596117 3698499 4623579 6678503 6868641 10788351 11095497 16026829 20035509 20605923 27227743 32365053 46749521 48080487 60106527 81683229 140248563 144241461 190594201 245049687 353960659 420745689 571782603 1061881977 1707128113 1715347809 2477724613 3185645931 5121384339 7433173839 11949896791 15364153017 22192665469 22299521517 35849690373 66577996407 90477789989 107549071119 155348658283 199733989221 271433369967 466045974849 633344529923 814300109901 1176211269857 1398137924547 1900033589769 3528633809571 5700100769307 8233478888999 10585901428713 24700436666997 74101310000991