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31466952990 = 232511101389809
BaseRepresentation
bin11101010011100100…
…111001100100011110
310000012222121211120100
4131103210321210132
51003421014443430
622242234001530
72162531454504
oct352344714436
9100188554510
1031466952990
1112388302580
1261222762a6
132c76286515
1417471c8674
15c427e6960
hex75393991e

31466952990 has 192 divisors, whose sum is σ = 90478814400. Its totient is φ = 7524096000.

The previous prime is 31466952973. The next prime is 31466953003. The reversal of 31466952990 is 9925966413.

31466952990 is a `hidden beast` number, since 3 + 1 + 466 + 95 + 2 + 9 + 90 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38895706 + ... + 38896514.

It is an arithmetic number, because the mean of its divisors is an integer number (471243825).

Almost surely, 231466952990 is an apocalyptic number.

31466952990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31466952990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239407200).

31466952990 is an abundant number, since it is smaller than the sum of its proper divisors (59011861410).

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

31466952990 is a wasteful number, since it uses less digits than its factorization.

31466952990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 31466952990 in words is "thirty-one billion, four hundred sixty-six million, nine hundred fifty-two thousand, nine hundred ninety".