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9168540096 = 263176146049
BaseRepresentation
bin10001000100111110…
…01101000111000000
3212122222020002120010
420202133031013000
5122234121240341
64113441344520
7443130206412
oct104237150700
925588202503
109168540096
113985446971
12193a638140
13b31670c71
1462d9689b2
15389dbe716
hex2227cd1c0

9168540096 has 112 divisors (see below), whose sum is σ = 26107034400. Its totient is φ = 2829189120.

The previous prime is 9168540091. The next prime is 9168540103. The reversal of 9168540096 is 6900458619.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9168540091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176080 + ... + 222128.

Almost surely, 29168540096 is an apocalyptic number.

9168540096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9168540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053517200).

9168540096 is an abundant number, since it is smaller than the sum of its proper divisors (16938494304).

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

9168540096 is a wasteful number, since it uses less digits than its factorization.

9168540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46142 (or 46132 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9168540096 is about 95752.4939414113. The cubic root of 9168540096 is about 2092.9879574989.

The spelling of 9168540096 in words is "nine billion, one hundred sixty-eight million, five hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 136 183 192 204 244 272 366 408 488 544 732 816 976 1037 1088 1464 1632 1952 2074 2928 3111 3264 3904 4148 5856 6222 8296 11712 12444 16592 24888 33184 46049 49776 66368 92098 99552 138147 184196 199104 276294 368392 552588 736784 782833 1105176 1473568 1565666 2210352 2348499 2808989 2947136 3131332 4420704 4696998 5617978 6262664 8426967 8841408 9393996 11235956 12525328 16853934 18787992 22471912 25050656 33707868 37575984 44943824 47752813 50101312 67415736 75151968 89887648 95505626 134831472 143258439 150303936 179775296 191011252 269662944 286516878 382022504 539325888 573033756 764045008 1146067512 1528090016 2292135024 3056180032 4584270048 9168540096