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9746404272 = 24331119310627
BaseRepresentation
bin10010001001110111…
…00101001110110000
3221011020120122012000
421010323211032300
5124430034414042
64251043134000
7463345032543
oct110473451660
927136518160
109746404272
114151655870
121a80074300
13bc42b9227
146865cc85a
153c09b874c
hex244ee53b0

9746404272 has 160 divisors (see below), whose sum is σ = 30680060160. Its totient is φ = 2937876480.

The previous prime is 9746404271. The next prime is 9746404273. The reversal of 9746404272 is 2724046479.

It is an interprime number because it is at equal distance from previous prime (9746404271) and next prime (9746404273).

It is not an unprimeable number, because it can be changed into a prime (9746404271) 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, 911823 + ... + 922449.

It is an arithmetic number, because the mean of its divisors is an integer number (191750376).

Almost surely, 29746404272 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 9746404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340030080).

9746404272 is an abundant number, since it is smaller than the sum of its proper divisors (20933655888).

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

9746404272 is a wasteful number, since it uses less digits than its factorization.

9746404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848 (or 10836 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 9746404272 is about 98723.8789351391. The cubic root of 9746404272 is about 2136.0666877298.

The spelling of 9746404272 in words is "nine billion, seven hundred forty-six million, four hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 193 198 216 264 297 386 396 432 528 579 594 772 792 1158 1188 1544 1584 1737 2123 2316 2376 3088 3474 4246 4632 4752 5211 6369 6948 8492 9264 10422 10627 12738 13896 16984 19107 20844 21254 25476 27792 31881 33968 38214 41688 42508 50952 57321 63762 76428 83376 85016 95643 101904 114642 116897 127524 152856 170032 191286 229284 233794 255048 286929 305712 350691 382572 458568 467588 510096 573858 701382 765144 917136 935176 1052073 1147716 1402764 1530288 1870352 2051011 2104146 2295432 2805528 3156219 4102022 4208292 4590864 5611056 6153033 6312438 8204044 8416584 12306066 12624876 16408088 16833168 18459099 22561121 24612132 25249752 32816176 36918198 45122242 49224264 50499504 55377297 67683363 73836396 90244484 98448528 110754594 135366726 147672792 180488968 203050089 221509188 270733452 295345584 360977936 406100178 443018376 541466904 609150267 812200356 886036752 1082933808 1218300534 1624400712 2436601068 3248801424 4873202136 9746404272