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96103838304 = 25325322872753
BaseRepresentation
bin101100110000000111…
…1000011001001100000
3100012001122022211011200
41121200033003021200
53033310040311204
6112052142441200
76641354101335
oct1314017031140
9305048284150
1096103838304
1137837125161
1216760b93200
1390a7576916
14491981a98c
152777176539
hex16603c3260

96103838304 has 144 divisors (see below), whose sum is σ = 278674748352. Its totient is φ = 31405031424.

The previous prime is 96103838267. The next prime is 96103838309. The reversal of 96103838304 is 40383830169.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×961038383042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96103838304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96103838309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34907392 + ... + 34910144.

It is an arithmetic number, because the mean of its divisors is an integer number (1935241308).

Almost surely, 296103838304 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 96103838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139337374176).

96103838304 is an abundant number, since it is smaller than the sum of its proper divisors (182570910048).

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

96103838304 is a wasteful number, since it uses less digits than its factorization.

96103838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96103838304 in words is "ninety-six billion, one hundred three million, eight hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2287 2544 2753 3816 4574 5088 5506 6861 7632 8259 9148 11012 13722 15264 16518 18296 20583 22024 24777 27444 33036 36592 41166 44048 49554 54888 66072 73184 82332 88096 99108 109776 121211 132144 145909 164664 198216 219552 242422 264288 291818 329328 363633 396432 437727 484844 583636 658656 727266 792864 875454 969688 1090899 1167272 1313181 1454532 1750908 1939376 2181798 2334544 2626362 2909064 3501816 3878752 4363596 4669088 5252724 5818128 6296111 7003632 8727192 10505448 11636256 12592222 14007264 17454384 18888333 21010896 25184444 34908768 37776666 42021792 50368888 56664999 75553332 100737776 113329998 151106664 201475552 226659996 302213328 333693883 453319992 604426656 667387766 906639984 1001081649 1334775532 1813279968 2002163298 2669551064 3003244947 4004326596 5339102128 6006489894 8008653192 10678204256 12012979788 16017306384 24025959576 32034612768 48051919152 96103838304