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9890001012 = 22323107334891
BaseRepresentation
bin10010011010111110…
…10111000001110100
3221112020210002212210
421031133113001310
5130223320013022
64313213013420
7500040423123
oct111537270164
927466702783
109890001012
114215714161
121b00184270
13c17c85708
1469b6cbaba
153cd3d0a0c
hex24d7d7074

9890001012 has 48 divisors (see below), whose sum is σ = 24305121792. Its totient is φ = 3123853920.

The previous prime is 9890000977. The next prime is 9890001013. The reversal of 9890001012 is 2101000989.

It is a super-2 number, since 2×98900010122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890001013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137914 + ... + 196977.

It is an arithmetic number, because the mean of its divisors is an integer number (506356704).

Almost surely, 29890001012 is an apocalyptic number.

9890001012 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9890001012 is an abundant number, since it is smaller than the sum of its proper divisors (14415120780).

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

9890001012 is a wasteful number, since it uses less digits than its factorization.

9890001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335028 (or 335026 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 9890001012 is about 99448.4842116761. The cubic root of 9890001012 is about 2146.5060258870.

The spelling of 9890001012 in words is "nine billion, eight hundred ninety million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 7383 9844 14766 29532 334891 669782 1004673 1339564 2009346 4018692 7702493 15404986 23107479 30809972 35833337 46214958 71666674 92429916 107500011 143333348 215000022 430000044 824166751 1648333502 2472500253 3296667004 4945000506 9890001012