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9019468864 = 267177316223
BaseRepresentation
bin10000110011001101…
…00010110001000000
3212021120201111021101
420121212202301000
5121432441000424
64050554304144
7436340135410
oct103146426100
925246644241
109019468864
1139092894aa
1218b8728054
13b09808a33
14617c42640
1537bc75344
hex2199a2c40

9019468864 has 112 divisors (see below), whose sum is σ = 21956133888. Its totient is φ = 3588046848.

The previous prime is 9019468859. The next prime is 9019468867. The reversal of 9019468864 is 4688649109.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (9019468867) 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, 547857 + ... + 564079.

Almost surely, 29019468864 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 9019468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978066944).

9019468864 is an abundant number, since it is smaller than the sum of its proper divisors (12936665024).

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

9019468864 is a wasteful number, since it uses less digits than its factorization.

9019468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16332 (or 16322 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The square root of 9019468864 is about 94970.8842961884. The cubic root of 9019468864 is about 2081.5826268691.

The spelling of 9019468864 in words is "nine billion, nineteen million, four hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 73 112 119 136 146 224 238 272 292 448 476 511 544 584 952 1022 1088 1168 1241 1904 2044 2336 2482 3808 4088 4672 4964 7616 8176 8687 9928 16223 16352 17374 19856 32446 32704 34748 39712 64892 69496 79424 113561 129784 138992 227122 259568 275791 277984 454244 519136 551582 555968 908488 1038272 1103164 1184279 1816976 1930537 2206328 2368558 3633952 3861074 4412656 4737116 7267904 7722148 8289953 8825312 9474232 15444296 16579906 17650624 18948464 20132743 30888592 33159812 37896928 40265486 61777184 66319624 75793856 80530972 123554368 132639248 140929201 161061944 265278496 281858402 322123888 530556992 563716804 644247776 1127433608 1288495552 2254867216 4509734432 9019468864