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20001371749632 = 2832713243473631
BaseRepresentation
bin1001000110000111011101…
…01010000111110100000000
32121211010000222122121101200
410203003232222013310000
510110200302131442012
6110312300415301200
74133023431503640
oct443035652076400
977733028577350
1020001371749632
116411596a10919
1222b0496b1a800
13b21176550a00
144d21004d8520
1524a4354ea3dc
hex1230eea87d00

20001371749632 has 1296 divisors, whose sum is σ = 74601074515968. Its totient is φ = 5041396039680.

The previous prime is 20001371749627. The next prime is 20001371749693. The reversal of 20001371749632 is 23694717310002.

20001371749632 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 3 + 7 + 1 + 7 + 4 + 9 + 632 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5508500457 + ... + 5508504087.

Almost surely, 220001371749632 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 20001371749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37300537257984).

20001371749632 is an abundant number, since it is smaller than the sum of its proper divisors (54599702766336).

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

20001371749632 is a wasteful number, since it uses less digits than its factorization.

20001371749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20001371749632 in words is "twenty trillion, one billion, three hundred seventy-one million, seven hundred forty-nine thousand, six hundred thirty-two".