Search a number
-
+
96963112683792 = 2434359208404503
BaseRepresentation
bin10110000010111111111011…
…111000110100100100010000
3110201022120202001001102210000
4112002333323320310210100
5100202120423321340132
6542120123344010000
726265232215650205
oct2602777370644420
9421276661042700
1096963112683792
1128993909317903
12aa60126300900
1342147753acb24
1419d307acc7cac
15b3237699587c
hex582ffbe34910

96963112683792 has 100 divisors (see below), whose sum is σ = 281421106021440. Its totient is φ = 32231006661312.

The previous prime is 96963112683727. The next prime is 96963112683841. The reversal of 96963112683792 is 29738621136969.

96963112683792 is a `hidden beast` number, since 96 + 96 + 311 + 26 + 8 + 37 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96963112683792.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103736988 + ... + 104667515.

Almost surely, 296963112683792 is an apocalyptic number.

It is an amenable number.

96963112683792 is an abundant number, since it is smaller than the sum of its proper divisors (184457993337648).

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

96963112683792 is a wasteful number, since it uses less digits than its factorization.

96963112683792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208404882 (or 208404867 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 96963112683792 in words is "ninety-six trillion, nine hundred sixty-three billion, one hundred twelve million, six hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 359 432 648 718 1077 1296 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 29079 38772 51696 58158 77544 116316 155088 232632 465264 208404503 416809006 625213509 833618012 1250427018 1667236024 1875640527 2500854036 3334472048 3751281054 5001708072 5626921581 7502562108 10003416144 11253843162 15005124216 16880764743 22507686324 30010248432 33761529486 45015372648 67523058972 74817216577 90030745296 135046117944 149634433154 224451649731 270092235888 299268866308 448903299462 598537732616 673354949193 897806598924 1197075465232 1346709898386 1795613197848 2020064847579 2693419796772 3591226395696 4040129695158 5386839593544 6060194542737 8080259390316 10773679187088 12120389085474 16160518780632 24240778170948 32321037561264 48481556341896 96963112683792