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9425677968 = 2433731100547
BaseRepresentation
bin10001100011101000…
…00110111010010000
3220022220002001102000
420301310012322100
5123300433143333
64155144554000
7452401640460
oct106164067220
926286061360
109425677968
113aa7605403
1219b0782900
13b72a12555
14655b81ba0
153a2763713
hex231d06e90

9425677968 has 160 divisors (see below), whose sum is σ = 31917957120. Its totient is φ = 2606152320.

The previous prime is 9425677967. The next prime is 9425677969. The reversal of 9425677968 is 8697765249.

9425677968 is a `hidden beast` number, since 9 + 4 + 2 + 567 + 7 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (9425677967) and next prime (9425677969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9425677967) 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, 43471 + ... + 144017.

It is an arithmetic number, because the mean of its divisors is an integer number (199487232).

Almost surely, 29425677968 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 9425677968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

9425677968 is an abundant number, since it is smaller than the sum of its proper divisors (22492279152).

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

9425677968 is a wasteful number, since it uses less digits than its factorization.

9425677968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100602 (or 100590 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 9425677968 is about 97085.9308447934. The cubic root of 9425677968 is about 2112.3742557321.

The spelling of 9425677968 in words is "nine billion, four hundred twenty-five million, six hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 93744 100547 201094 301641 402188 603282 703829 804376 904923 1206564 1407658 1608752 1809846 2111487 2413128 2714769 2815316 3116957 3619692 4222974 4826256 5429538 5630632 6233914 6334461 7239384 8445948 9350871 10859076 11261264 12467828 12668922 14478768 16891896 18701742 19003383 21718152 21818699 24935656 25337844 28052613 33783792 37403484 38006766 43436304 43637398 49871312 50675688 56105226 65456097 74806968 76013532 84157839 87274796 101351376 112210452 130912194 149613936 152027064 168315678 174549592 196368291 224420904 261824388 304054128 336631356 349099184 392736582 448841808 523648776 589104873 673262712 785473164 1047297552 1178209746 1346525424 1570946328 2356419492 3141892656 4712838984 9425677968