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96938301984 = 2531399377753
BaseRepresentation
bin101101001000111111…
…0010001101000100000
3100021012210111222010220
41122101332101220200
53042012201130414
6112311032123040
710001135654136
oct1322176215040
9307183458126
1096938301984
1138125165067
1216954536480
1391ab405404
144998597756
1527c5559ca9
hex1691f91a20

96938301984 has 96 divisors (see below), whose sum is σ = 256600330560. Its totient is φ = 32041930752.

The previous prime is 96938301979. The next prime is 96938301991. The reversal of 96938301984 is 48910383969.

96938301984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12499452 + ... + 12507204.

It is an arithmetic number, because the mean of its divisors is an integer number (2672920110).

Almost surely, 296938301984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96938301984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128300165280).

96938301984 is an abundant number, since it is smaller than the sum of its proper divisors (159662028576).

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

96938301984 is a wasteful number, since it uses less digits than its factorization.

96938301984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 96938301984 in words is "ninety-six billion, nine hundred thirty-eight million, three hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 937 1112 1668 1874 2224 2811 3336 3748 4448 5622 6672 7496 7753 11244 13344 14992 15506 22488 23259 29984 31012 44976 46518 62024 89952 93036 124048 130243 186072 248096 260486 372144 390729 520972 744288 781458 1041944 1077667 1562916 2083888 2155334 3125832 3233001 4167776 4310668 6251664 6466002 7264561 8621336 12503328 12932004 14529122 17242672 21793683 25864008 29058244 34485344 43587366 51728016 58116488 87174732 103456032 116232976 174349464 232465952 348698928 697397856 1009773979 2019547958 3029321937 4039095916 6058643874 8078191832 12117287748 16156383664 24234575496 32312767328 48469150992 96938301984