Search a number
-
+
96897363696 = 24337178917911
BaseRepresentation
bin101101000111110001…
…0000110111011110000
3100021002221111002101000
41122033202012323300
53041421211114241
6112303010442000
710000131000420
oct1321742067360
9307087432330
1096897363696
1138104043571
1216942893300
1391a2aa0783
144992d7c480
1527c1b6eeb6
hex168f886ef0

96897363696 has 160 divisors (see below), whose sum is σ = 318059801600. Its totient is φ = 27667941120.

The previous prime is 96897363677. The next prime is 96897363701. The reversal of 96897363696 is 69636379869.

96897363696 is a `hidden beast` number, since 96 + 8 + 97 + 363 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5400981 + ... + 5418891.

It is an arithmetic number, because the mean of its divisors is an integer number (1987873760).

Almost surely, 296897363696 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 96897363696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159029900800).

96897363696 is an abundant number, since it is smaller than the sum of its proper divisors (221162437904).

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

96897363696 is a wasteful number, since it uses less digits than its factorization.

96897363696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724 (or 19712 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 96897363696 in words is "ninety-six billion, eight hundred ninety-seven million, three hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1789 3024 3578 5367 7156 10734 12523 14312 16101 17911 21468 25046 28624 32202 35822 37569 42936 48303 50092 53733 64404 71644 75138 85872 96606 100184 107466 112707 125377 128808 143288 150276 161199 193212 200368 214932 225414 250754 257616 286576 300552 322398 338121 376131 386424 429864 450828 483597 501508 601104 644796 676242 752262 772848 859728 901656 967194 1003016 1128393 1289592 1352484 1504524 1803312 1934388 2006032 2256786 2579184 2704968 3009048 3385179 3868776 4513572 5409936 6018096 6770358 7737552 9027144 13540716 18054288 27081432 32042779 54162864 64085558 96128337 128171116 192256674 224299453 256342232 288385011 384513348 448598906 512684464 576770022 672898359 769026696 865155033 897197812 1153540044 1345796718 1538053392 1730310066 1794395624 2018695077 2307080088 2691593436 3460620132 3588791248 4037390154 4614160176 5383186872 6056085231 6921240264 8074780308 10766373744 12112170462 13842480528 16149560616 24224340924 32299121232 48448681848 96897363696