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78830821431 = 33174327714419
BaseRepresentation
bin100100101101010101…
…1101110000000110111
321112110212002122112000
41021122223232000313
52242421142241211
6100114150030343
75460333632505
oct1113253560067
9245425078460
1078830821431
1130482a419aa
12133403483b3
137583b4248b
143b5b78d675
1520b5a20656
hex125aaee037

78830821431 has 64 divisors (see below), whose sum is σ = 126997516800. Its totient is φ = 48134435328.

The previous prime is 78830821429. The next prime is 78830821453. The reversal of 78830821431 is 13412803887.

It is not a de Polignac number, because 78830821431 - 21 = 78830821429 is a prime.

It is a super-2 number, since 2×788308214312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78830821471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5459940 + ... + 5474358.

It is an arithmetic number, because the mean of its divisors is an integer number (1984336200).

Almost surely, 278830821431 is an apocalyptic number.

78830821431 is a deficient number, since it is larger than the sum of its proper divisors (48166695369).

78830821431 is a wasteful number, since it uses less digits than its factorization.

78830821431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 78830821431 in words is "seventy-eight billion, eight hundred thirty million, eight hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 43 51 129 153 277 387 459 731 831 1161 2193 2493 4709 6579 7479 11911 14127 14419 19737 35733 42381 43257 107199 127143 129771 202487 245123 321597 389313 607461 620017 735369 1822383 1860051 2206107 3994063 5467149 5580153 6618321 10540289 11982189 16740459 31620867 35946567 67899071 94862601 107839701 171744709 203697213 284587803 515234127 611091639 1545702381 1833274917 2919660053 4637107143 8758980159 26276940477 78830821431