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81968359400 = 23521724108341
BaseRepresentation
bin100110001010110110…
…0011110011111101000
321211120111221002110222
41030111230132133220
52320332400000100
6101353350225212
75631152362514
oct1142554363750
9254514832428
1081968359400
1131843002694
1213a77055208
137963b81515
143d78359144
1521eb1d1485
hex1315b1e7e8

81968359400 has 48 divisors (see below), whose sum is σ = 201786822540. Its totient is φ = 30858675200.

The previous prime is 81968359397. The next prime is 81968359463. The reversal of 81968359400 is 495386918.

It can be written as a sum of positive squares in 6 ways, for example, as 55188346084 + 26780013316 = 234922^2 + 163646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12050771 + ... + 12057570.

Almost surely, 281968359400 is an apocalyptic number.

It is an amenable number.

81968359400 is an abundant number, since it is smaller than the sum of its proper divisors (119818463140).

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

81968359400 is a wasteful number, since it uses less digits than its factorization.

81968359400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108374 (or 24108365 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 81968359400 in words is "eighty-one billion, nine hundred sixty-eight million, three hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 24108341 48216682 96433364 120541705 192866728 241083410 409841797 482166820 602708525 819683594 964333640 1205417050 1639367188 2049208985 2410834100 3278734376 4098417970 4821668200 8196835940 10246044925 16393671880 20492089850 40984179700 81968359400