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9942932016 = 2432237142283
BaseRepresentation
bin10010100001010010…
…10001101000110000
3221122221101021120100
421100221101220300
5130330342311031
64322343312400
7501252345663
oct112051215060
927587337510
109942932016
114242586a96
121b15a4b700
13c25c28c34
146a47496da
153d2d88de6
hex250a51a30

9942932016 has 120 divisors (see below), whose sum is σ = 29445901056. Its totient is φ = 3125485440.

The previous prime is 9942931991. The next prime is 9942932071. The reversal of 9942932016 is 6102392499.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214011 + ... + 256293.

Almost surely, 29942932016 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 9942932016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722950528).

9942932016 is an abundant number, since it is smaller than the sum of its proper divisors (19502969040).

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

9942932016 is a wasteful number, since it uses less digits than its factorization.

9942932016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42391 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9942932016 is about 99714.2518198878. The cubic root of 9942932016 is about 2150.3285610003.

The spelling of 9942932016 in words is "nine billion, nine hundred forty-two million, nine hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 71 72 92 138 142 144 184 207 213 276 284 368 414 426 552 568 639 828 852 1104 1136 1278 1633 1656 1704 2556 3266 3312 3408 4899 5112 6532 9798 10224 13064 14697 19596 26128 29394 39192 42283 58788 78384 84566 117576 126849 169132 235152 253698 338264 380547 507396 676528 761094 972509 1014792 1522188 1945018 2029584 2917527 3002093 3044376 3890036 5835054 6004186 6088752 7780072 8752581 9006279 11670108 12008372 15560144 17505162 18012558 23340216 24016744 27018837 35010324 36025116 46680432 48033488 54037674 69048139 70020648 72050232 108075348 138096278 140041296 144100464 207144417 216150696 276192556 414288834 432301392 552385112 621433251 828577668 1104770224 1242866502 1657155336 2485733004 3314310672 4971466008 9942932016