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9490852128 = 253478325343
BaseRepresentation
bin10001101011011001…
…01110100100100000
3220111102201020112210
420311230232210200
5123414124232003
64205433522120
7454122624552
oct106554564440
926442636483
109490852128
11403037a74a
121a0a573340
13b83381644
146606a94d2
153a8339503
hex235b2e920

9490852128 has 96 divisors (see below), whose sum is σ = 25751126016. Its totient is φ = 3058880768.

The previous prime is 9490852121. The next prime is 9490852139. The reversal of 9490852128 is 8212580949.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (9490852121) 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, 361825 + ... + 387167.

It is an arithmetic number, because the mean of its divisors is an integer number (268240896).

Almost surely, 29490852128 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 9490852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875563008).

9490852128 is an abundant number, since it is smaller than the sum of its proper divisors (16260273888).

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

9490852128 is a wasteful number, since it uses less digits than its factorization.

9490852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25486 (or 25478 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 9490852128 is about 97421.0045524065. The cubic root of 9490852128 is about 2117.2317707920.

The spelling of 9490852128 in words is "nine billion, four hundred ninety million, eight hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 83 94 96 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3901 3984 4512 7802 7968 11703 15604 23406 25343 31208 46812 50686 62416 76029 93624 101372 124832 152058 187248 202744 304116 374496 405488 608232 810976 1191121 1216464 2103469 2382242 2432928 3573363 4206938 4764484 6310407 7146726 8413876 9528968 12620814 14293452 16827752 19057936 25241628 28586904 33655504 38115872 50483256 57173808 67311008 98863043 100966512 114347616 197726086 201933024 296589129 395452172 593178258 790904344 1186356516 1581808688 2372713032 3163617376 4745426064 9490852128