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5337059660640 = 2535517531311163
BaseRepresentation
bin100110110101010000110…
…0010111001001101100000
3200220012212212022222100000
41031222201202321031200
51144420244233120030
615203451130500000
71060406212414401
oct115524142711540
920805785288300
105337059660640
111778486050374
12722436594600
132c9389a4c546
1414645a77d9a8
1593c686aa860
hex4daa18b9360

5337059660640 has 1152 divisors, whose sum is σ = 20548795018752. Its totient is φ = 1303070146560.

The previous prime is 5337059660579. The next prime is 5337059660651. The reversal of 5337059660640 is 460669507335.

5337059660640 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 0 + 596 + 6 + 0 + 6 + 40 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4589044699 + ... + 4589045861.

It is an arithmetic number, because the mean of its divisors is an integer number (17837495676).

Almost surely, 25337059660640 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 5337059660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274397509376).

5337059660640 is an abundant number, since it is smaller than the sum of its proper divisors (15211735358112).

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

5337059660640 is a wasteful number, since it uses less digits than its factorization.

5337059660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 5337059660640 in words is "five trillion, three hundred thirty-seven billion, fifty-nine million, six hundred sixty thousand, six hundred forty".