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2981193983999 = 72116796785369
BaseRepresentation
bin101011011000011101000…
…000100010011111111111
3101112222222112102200022222
4223120131000202133333
5342320441124441444
610201312553155555
7425245523521100
oct53303500423777
911488875380288
102981193983999
11a4a3543145a0
124019379bbbbb
1318818262139a
14a440d4163a7
1552833725eee
hex2b61d0227ff

2981193983999 has 48 divisors (see below), whose sum is σ = 3843666097920. Its totient is φ = 2285943327360.

The previous prime is 2981193983959. The next prime is 2981193984077. The reversal of 2981193983999 is 9993893911892.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2981193983999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981193983959) 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 47 ways as a sum of consecutive naturals, for example, 34878587 + ... + 34963955.

It is an arithmetic number, because the mean of its divisors is an integer number (80076377040).

Almost surely, 22981193983999 is an apocalyptic number.

2981193983999 is a deficient number, since it is larger than the sum of its proper divisors (862472113921).

2981193983999 is a wasteful number, since it uses less digits than its factorization.

2981193983999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86428 (or 86421 counting only the distinct ones).

The product of its digits is 612220032, while the sum is 80.

The spelling of 2981193983999 in words is "two trillion, nine hundred eighty-one billion, one hundred ninety-three million, nine hundred eighty-three thousand, nine hundred ninety-nine".

Divisors: 1 7 11 49 67 77 469 539 737 967 3283 5159 6769 10637 36113 47383 64789 74459 85369 453523 521213 597583 712679 939059 3174661 4183081 4988753 5719723 6573413 34921271 40038061 46013891 62916953 82551823 280266427 440418671 577862761 908070053 3082930697 4045039327 5530972141 6356490371 38716804987 44495432597 60840693551 271017634909 425884854857 2981193983999