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9201019104 = 2532376731283
BaseRepresentation
bin10001001000110110…
…00110100011100000
3212202020100012101100
420210123012203200
5122320430102404
64121001434400
7444003241404
oct104433064340
925666305340
109201019104
1139a180a922
12194949ba00
13b38303404
14633dc1104
1538cb87d39
hex2246c68e0

9201019104 has 144 divisors (see below), whose sum is σ = 26933476752. Its totient is φ = 2977357824.

The previous prime is 9201019103. The next prime is 9201019111. The reversal of 9201019104 is 4019101029.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201019103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7170847 + ... + 7172129.

It is an arithmetic number, because the mean of its divisors is an integer number (187038033).

Almost surely, 29201019104 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 9201019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466738376).

9201019104 is an abundant number, since it is smaller than the sum of its proper divisors (17732457648).

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

9201019104 is a wasteful number, since it uses less digits than its factorization.

9201019104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 9201019104 is about 95921.9427659803. The cubic root of 9201019104 is about 2095.4564733863.

The spelling of 9201019104 in words is "nine billion, two hundred one million, nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 673 888 1184 1283 1332 1346 1776 2019 2566 2664 2692 3552 3849 4038 5132 5328 5384 6057 7698 8076 10264 10656 10768 11547 12114 15396 16152 20528 21536 23094 24228 24901 30792 32304 41056 46188 47471 48456 49802 61584 64608 74703 92376 94942 96912 99604 123168 142413 149406 184752 189884 193824 199208 224109 284826 298812 369504 379768 398416 427239 448218 569652 597624 759536 796832 854478 863459 896436 1139304 1195248 1519072 1708956 1726918 1792872 2278608 2390496 2590377 3417912 3453836 3585744 4557216 5180754 6835824 6907672 7171488 7771131 10361508 13671648 13815344 15542262 20723016 27630688 31084524 31947983 41446032 62169048 63895966 82892064 95843949 124338096 127791932 191687898 248676192 255583864 287531847 383375796 511167728 575063694 766751592 1022335456 1150127388 1533503184 2300254776 3067006368 4600509552 9201019104