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42974003367936 = 212341925992
BaseRepresentation
bin10011100010101101010100…
…01101001001000000000000
312122011021102011221112210000
421301112222031021000000
521113041224330233221
6231221552401440000
712023524602423444
oct1161265215110000
9178137364845700
1042974003367936
1112769199631363
1249a0796940000
131ac957b262c34
14a87d4a916824
154e7cbc024e26
hex2715aa349000

42974003367936 has 585 divisors, whose sum is σ = 135714594398691. Its totient is φ = 13548082249728.

The previous prime is 42974003367913. The next prime is 42974003367941. The reversal of 42974003367936 is 63976330047924.

The square root of 42974003367936 is 6555456.

It is a perfect power (a square), and thus also a powerful number.

42974003367936 is a `hidden beast` number, since 4 + 297 + 4 + 0 + 0 + 336 + 7 + 9 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71742910165 + ... + 71742910763.

Almost surely, 242974003367936 is an apocalyptic number.

42974003367936 is the 6555456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42974003367936

42974003367936 is an abundant number, since it is smaller than the sum of its proper divisors (92740591030755).

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

42974003367936 is an frugal number, since it uses more digits than its factorization.

42974003367936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 42974003367936 in words is "forty-two trillion, nine hundred seventy-four billion, three million, three hundred sixty-seven thousand, nine hundred thirty-six".