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12002946732 = 2232755785513
BaseRepresentation
bin10110010110110111…
…00110111010101100
31010222111122212111200
423023123212322230
5144040223243412
65303012445500
7603305235540
oct131333467254
933874585450
1012002946732
1150aa394597
1223ab919890
131193956b5a
1481c187a20
154a3b539dc
hex2cb6e6eac

12002946732 has 72 divisors (see below), whose sum is σ = 34737839136. Its totient is φ = 3423216384.

The previous prime is 12002946731. The next prime is 12002946737. The reversal of 12002946732 is 23764920021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12002946731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97608 + ... + 183120.

It is an arithmetic number, because the mean of its divisors is an integer number (482469988).

Almost surely, 212002946732 is an apocalyptic number.

12002946732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002946732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368919568).

12002946732 is an abundant number, since it is smaller than the sum of its proper divisors (22734892404).

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

12002946732 is a wasteful number, since it uses less digits than its factorization.

12002946732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86087 (or 86082 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12002946732 in words is "twelve billion, two million, nine hundred forty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557 1114 1671 2228 3342 3899 5013 6684 7798 10026 11697 15596 20052 23394 35091 46788 70182 85513 140364 171026 256539 342052 513078 598591 769617 1026156 1197182 1539234 1795773 2394364 3078468 3591546 5387319 7183092 10774638 21549276 47630741 95261482 142892223 190522964 285784446 333415187 428676669 571568892 666830374 857353338 1000245561 1333660748 1714706676 2000491122 3000736683 4000982244 6001473366 12002946732