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9133834104 = 2334111712619
BaseRepresentation
bin10001000000110101…
…10011111101111000
3212120112220211220000
420200122303331320
5122201230142404
64110201433000
7442226210643
oct104032637570
925515824800
109133834104
1139678a182a
12192aa9b760
13b2740bc85
146290d2a5a
15386d16339
hex2206b3f78

9133834104 has 80 divisors (see below), whose sum is σ = 25608125400. Its totient is φ = 3041644608.

The previous prime is 9133834057. The next prime is 9133834133. The reversal of 9133834104 is 4014383319.

9133834104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 717507 + ... + 730125.

Almost surely, 29133834104 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 9133834104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804062700).

9133834104 is an abundant number, since it is smaller than the sum of its proper divisors (16474291296).

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

9133834104 is a wasteful number, since it uses less digits than its factorization.

9133834104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9133834104 is about 95571.0945003770. The cubic root of 9133834104 is about 2090.3437316873.

The spelling of 9133834104 in words is "nine billion, one hundred thirty-three million, eight hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1117 2234 3351 4468 6702 8936 10053 12619 13404 20106 25238 26808 30159 37857 40212 50476 60318 75714 80424 90477 100952 113571 120636 151428 180954 227142 241272 302856 340713 361908 454284 681426 723816 908568 1022139 1362852 2044278 2725704 4088556 8177112 14095423 28190846 42286269 56381692 84572538 112763384 126858807 169145076 253717614 338290152 380576421 507435228 761152842 1014870456 1141729263 1522305684 2283458526 3044611368 4566917052 9133834104