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9290723968 = 271929131731
BaseRepresentation
bin10001010011100010…
…10011001010000000
3212222111010200022201
420221301103022000
5123011411131333
64133524242544
7446142564541
oct105161231200
925874120281
109290723968
113a3840a479
121973540454
13b50a80c06
14641c924c8
153959a717d
hex229c53280

9290723968 has 64 divisors (see below), whose sum is σ = 20154996000. Its totient is φ = 4249082880.

The previous prime is 9290723951. The next prime is 9290723969. The reversal of 9290723968 is 8693270929.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9290723969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4663 + ... + 136393.

Almost surely, 29290723968 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 9290723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10077498000).

9290723968 is an abundant number, since it is smaller than the sum of its proper divisors (10864272032).

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

9290723968 is a wasteful number, since it uses less digits than its factorization.

9290723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131793 (or 131781 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 9290723968 is about 96388.4016259218. The cubic root of 9290723968 is about 2102.2443102077.

The spelling of 9290723968 in words is "nine billion, two hundred ninety million, seven hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 928 1102 1216 1856 2204 2432 3712 4408 8816 17632 35264 70528 131731 263462 526924 1053848 2107696 2502889 3820199 4215392 5005778 7640398 8430784 10011556 15280796 16861568 20023112 30561592 40046224 61123184 72583781 80092448 122246368 145167562 160184896 244492736 290335124 320369792 488985472 580670248 1161340496 2322680992 4645361984 9290723968