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81962759976384 = 263760984196411
BaseRepresentation
bin10010101000101101110001…
…001100010111010111000000
3101202012120012200000122221010
4102220231301030113113000
541220334213023221014
6450153101102400520
723156420412466110
oct2250556114272700
9352176180018833
1081962759976384
1124130236273001
129238b22590140
133697094099a51
14163503963d040
1597208d3b0359
hex4a8b713175c0

81962759976384 has 56 divisors (see below), whose sum is σ = 247839774218368. Its totient is φ = 23417931421440.

The previous prime is 81962759976373. The next prime is 81962759976407. The reversal of 81962759976384 is 48367995726918.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 81962759976297 and 81962759976306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30492096862 + ... + 30492099549.

Almost surely, 281962759976384 is an apocalyptic number.

81962759976384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81962759976384 is an abundant number, since it is smaller than the sum of its proper divisors (165877014241984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81962759976384 is a wasteful number, since it uses less digits than its factorization.

81962759976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60984196433 (or 60984196423 counting only the distinct ones).

The product of its digits is 9876142080, while the sum is 84.

The spelling of 81962759976384 in words is "eighty-one trillion, nine hundred sixty-two billion, seven hundred fifty-nine million, nine hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 60984196411 121968392822 182952589233 243936785644 365905178466 426889374877 487873571288 731810356932 853778749754 975747142576 1280668124631 1463620713864 1707557499508 1951494285152 2561336249262 2927241427728 3415114999016 3902988570304 5122672498524 5854482855456 6830229998032 10245344997048 11708965710912 13660459996064 20490689994096 27320919992128 40981379988192 81962759976384