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96254394144 = 25337128921023
BaseRepresentation
bin101100110100100110…
…1010111111100100000
3100012110010121211221220
41121221031113330200
53034112111103034
6112115121415040
76645162564546
oct1315115277440
9305403554856
1096254394144
1137904106a77
12167a349a480
1390cc80b80c
14493180bd96
1527854b5749
hex1669357f20

96254394144 has 96 divisors (see below), whose sum is σ = 259710312960. Its totient is φ = 31191939072.

The previous prime is 96254394133. The next prime is 96254394161. The reversal of 96254394144 is 44149345269.

It is a happy number.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4568017 + ... + 4589039.

It is an arithmetic number, because the mean of its divisors is an integer number (2705315760).

Almost surely, 296254394144 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 96254394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129855156480).

96254394144 is an abundant number, since it is smaller than the sum of its proper divisors (163455918816).

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

96254394144 is a wasteful number, since it uses less digits than its factorization.

96254394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22354 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 96254394144 in words is "ninety-six billion, two hundred fifty-four million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1289 1776 2578 3552 3867 5156 7734 10312 15468 20624 21023 30936 41248 42046 47693 61872 63069 84092 95386 123744 126138 143079 168184 190772 252276 286158 336368 381544 504552 572316 672736 763088 777851 1009104 1144632 1526176 1555702 2018208 2289264 2333553 3111404 4578528 4667106 6222808 9334212 12445616 18668424 24891232 27098647 37336848 54197294 74673696 81295941 108394588 162591882 216789176 325183764 433578352 650367528 867156704 1002649939 1300735056 2005299878 2601470112 3007949817 4010599756 6015899634 8021199512 12031799268 16042399024 24063598536 32084798048 48127197072 96254394144