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9993500328 = 23371131493533
BaseRepresentation
bin10010100111010100…
…01011011010101000
3221210110112102020210
421103222023122220
5130431314002303
64331351221120
7502435231320
oct112352133250
927713472223
109993500328
114269085789
121b2a9777a0
13c33552c06
146ab350280
153d7527203
hex253a8b6a8

9993500328 has 128 divisors (see below), whose sum is σ = 29007072000. Its totient is φ = 2810228736.

The previous prime is 9993500323. The next prime is 9993500339. The reversal of 9993500328 is 8230053999.

It is a super-2 number, since 2×99935003282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9993500323) 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, 2826850 + ... + 2830382.

It is an arithmetic number, because the mean of its divisors is an integer number (226617750).

Almost surely, 29993500328 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 9993500328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503536000).

9993500328 is an abundant number, since it is smaller than the sum of its proper divisors (19013571672).

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

9993500328 is a wasteful number, since it uses less digits than its factorization.

9993500328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 9993500328 is about 99967.4963575661. The cubic root of 9993500328 is about 2153.9678182391.

The spelling of 9993500328 in words is "nine billion, nine hundred ninety-three million, five hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 149 168 226 298 339 447 452 596 678 791 894 904 1043 1192 1356 1582 1788 2086 2373 2712 3129 3164 3533 3576 4172 4746 6258 6328 7066 8344 9492 10599 12516 14132 16837 18984 21198 24731 25032 28264 33674 42396 49462 50511 67348 74193 84792 98924 101022 117859 134696 148386 197848 202044 235718 296772 353577 399229 404088 471436 526417 593544 707154 798458 942872 1052834 1197687 1414308 1579251 1596916 2105668 2395374 2794603 2828616 3158502 3193832 3684919 4211336 4790748 5589206 6317004 7369838 8383809 9581496 11054757 11178412 12634008 14739676 16767618 22109514 22356824 29479352 33535236 44219028 59485121 67070472 88438056 118970242 178455363 237940484 356910726 416395847 475880968 713821452 832791694 1249187541 1427642904 1665583388 2498375082 3331166776 4996750164 9993500328