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48310214494932 = 22341337677457889
BaseRepresentation
bin10101111110000000110010…
…01011001000101011010100
320100001102002220121112210000
422333000121023020223110
522313003304402314212
6250425223421331300
713114204102545135
oct1277003113105324
9210042086545700
1048310214494932
1114436279701855
125502a15106b30
1320c5831268760
14bd03266d5c8c
1558b9d5e6d1dc
hex2bf0192c8ad4

48310214494932 has 240 divisors, whose sum is σ = 139889750449680. Its totient is φ = 14441538428928.

The previous prime is 48310214494823. The next prime is 48310214494963. The reversal of 48310214494932 is 23949441201384.

48310214494932 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 0 + 2 + 144 + 9 + 493 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 346916288016 + 47963298206916 = 588996^2 + 6925554^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105277444 + ... + 105735332.

It is an arithmetic number, because the mean of its divisors is an integer number (582873960207).

Almost surely, 248310214494932 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 48310214494932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69944875224840).

48310214494932 is an abundant number, since it is smaller than the sum of its proper divisors (91579535954748).

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

48310214494932 is a wasteful number, since it uses less digits than its factorization.

48310214494932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458632 (or 458621 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 48310214494932 in words is "forty-eight trillion, three hundred ten billion, two hundred fourteen million, four hundred ninety-four thousand, nine hundred thirty-two".