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96968889696 = 25371291111773
BaseRepresentation
bin101101001001111001…
…0111101010101100000
3100021021221001222121010
41122103302331111200
53042043013432241
6112314043500520
710001656651140
oct1322362752540
9307257058533
1096968889696
1138140457068
1216962827740
1391b4854a53
14499c67a920
1527c809cd16
hex1693cbd560

96968889696 has 96 divisors (see below), whose sum is σ = 291134608128. Its totient is φ = 27683688960.

The previous prime is 96968889659. The next prime is 96968889697. The reversal of 96968889696 is 69698886969.

96968889696 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 a Harshad number since it is a multiple of its sum of digits (84).

96968889696 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96968889697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 811666 + ... + 923438.

It is an arithmetic number, because the mean of its divisors is an integer number (3032652168).

Almost surely, 296968889696 is an apocalyptic number.

96968889696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96968889696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145567304064).

96968889696 is an abundant number, since it is smaller than the sum of its proper divisors (194165718432).

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

96968889696 is a wasteful number, since it uses less digits than its factorization.

96968889696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113084 (or 113076 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 84.

The spelling of 96968889696 in words is "ninety-six billion, nine hundred sixty-eight million, eight hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1291 2582 3873 5164 7746 9037 10328 15492 18074 20656 27111 30984 36148 41312 54222 61968 72296 108444 111773 123936 144592 216888 223546 289184 335319 433776 447092 670638 782411 867552 894184 1341276 1564822 1788368 2347233 2682552 3129644 3576736 4694466 5365104 6259288 9388932 10730208 12518576 18777864 25037152 37555728 75111456 144298943 288597886 432896829 577195772 865793658 1010092601 1154391544 1731587316 2020185202 2308783088 3030277803 3463174632 4040370404 4617566176 6060555606 6926349264 8080740808 12121111212 13852698528 16161481616 24242222424 32322963232 48484444848 96968889696