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9729287442 = 23271731146521
BaseRepresentation
bin10010000111110100…
…10010010100010010
3221010001101000022100
421003322102110102
5124411144144232
64245232221230
7463046402340
oct110372222422
927101330270
109729287442
114142a24726
121a7639a816
13bc08a5224
14684214990
153be236c7c
hex243e92512

9729287442 has 96 divisors (see below), whose sum is σ = 26331761664. Its totient is φ = 2531865600.

The previous prime is 9729287441. The next prime is 9729287467. The reversal of 9729287442 is 2447829279.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9729287441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6859 + ... + 139662.

It is an arithmetic number, because the mean of its divisors is an integer number (274289184).

Almost surely, 29729287442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9729287442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165880832).

9729287442 is an abundant number, since it is smaller than the sum of its proper divisors (16602474222).

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

9729287442 is a wasteful number, since it uses less digits than its factorization.

9729287442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146584 (or 146581 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9729287442 is about 98637.1504150439. The cubic root of 9729287442 is about 2134.8154873113.

The spelling of 9729287442 in words is "nine billion, seven hundred twenty-nine million, two hundred eighty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3689 3906 4743 7378 9486 11067 22134 33201 66402 146521 293042 439563 879126 1025647 1318689 2051294 2490857 2637378 3076941 4542151 4981714 6153882 7472571 9084302 9230823 13626453 14945142 17435999 18461646 22417713 27252906 31795057 34871998 40879359 44835426 52307997 63590114 77216567 81758718 95385171 104615994 154433134 156923991 190770342 231649701 286155513 313847982 463299402 540515969 572311026 694949103 1081031938 1389898206 1621547907 3243095814 4864643721 9729287442