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9920680812 = 2232761963599
BaseRepresentation
bin10010011110101000…
…11001001101101100
3221121101111210122200
421033110121031230
5130304143241222
64320230341500
7500562252450
oct111724311554
927541453580
109920680812
114230a69369
121b0a4ba890
13c21437c43
146a17d6660
153d0e40eac
hex24f51936c

9920680812 has 72 divisors (see below), whose sum is σ = 28706496000. Its totient is φ = 2829856608.

The previous prime is 9920680807. The next prime is 9920680813. The reversal of 9920680812 is 2180860299.

9920680812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9920680813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124189 + ... + 187787.

Almost surely, 29920680812 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 9920680812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353248000).

9920680812 is an abundant number, since it is smaller than the sum of its proper divisors (18785815188).

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

9920680812 is a wasteful number, since it uses less digits than its factorization.

9920680812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64235 (or 64230 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9920680812 is about 99602.6144837574. The cubic root of 9920680812 is about 2148.7232955289.

The spelling of 9920680812 in words is "nine billion, nine hundred twenty million, six hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 619 1238 1857 2476 3714 4333 5571 7428 8666 11142 12999 17332 22284 25998 38997 51996 63599 77994 127198 155988 190797 254396 381594 445193 572391 763188 890386 1144782 1335579 1780772 2289564 2671158 4006737 5342316 8013474 16026948 39367781 78735562 118103343 157471124 236206686 275574467 354310029 472413372 551148934 708620058 826723401 1102297868 1417240116 1653446802 2480170203 3306893604 4960340406 9920680812