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9273104152 = 23133134173
BaseRepresentation
bin10001010001011100…
…00101011100011000
3212221020222111110221
420220232011130120
5122442403313102
64132054445424
7445540041034
oct105056053430
925836874427
109273104152
113a29475444
121969663874
13b4a221ca0
1463d7c71c4
15394176637
hex228b85718

9273104152 has 128 divisors (see below), whose sum is σ = 20092101120. Its totient is φ = 3985459200.

The previous prime is 9273104149. The next prime is 9273104153. The reversal of 9273104152 is 2514013729.

It is a happy number.

It is a super-2 number, since 2×92731041522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9273104153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127028788 + ... + 127028860.

It is an arithmetic number, because the mean of its divisors is an integer number (156969540).

Almost surely, 29273104152 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 9273104152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046050560).

9273104152 is an abundant number, since it is smaller than the sum of its proper divisors (10818996968).

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

9273104152 is a wasteful number, since it uses less digits than its factorization.

9273104152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 9273104152 is about 96296.9581658735. The cubic root of 9273104152 is about 2100.9145035857.

The spelling of 9273104152 in words is "nine billion, two hundred seventy-three million, one hundred four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 41 52 62 73 82 104 124 146 164 248 292 328 403 533 584 806 949 961 1066 1271 1612 1898 1922 2132 2263 2542 2993 3224 3796 3844 4264 4526 5084 5986 7592 7688 9052 10168 11972 12493 16523 18104 23944 24986 29419 29791 33046 38909 39401 49972 58838 59582 66092 70153 77818 78802 92783 99944 117676 119164 132184 140306 155636 157604 185566 235352 238328 280612 311272 315208 371132 387283 512213 561224 742264 774566 911989 1024426 1206179 1221431 1549132 1823978 2048852 2174743 2412358 2442862 2876273 3098264 3647956 4097704 4349486 4824716 4885724 5752546 7295912 8698972 9649432 9771448 11505092 15878603 17397944 23010184 28271659 31757206 37391549 56543318 63514412 74783098 89164463 113086636 127028824 149566196 178328926 226173272 299132392 356657852 713315704 1159138019 2318276038 4636552076 9273104152