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537396128640 = 27335759257293
BaseRepresentation
bin1111101000111110100…
…11100010101110000000
31220101010001121212202000
413310133103202232000
532301041402104030
61050513144024000
753553114503430
oct7643723425600
91811101555660
10537396128640
111979aa117438
1288198a62000
133b8a3903247
141c01da622c0
15dea3c22860
hex7d1f4e2b80

537396128640 has 1024 divisors, whose sum is σ = 2228228352000. Its totient is φ = 119871111168.

The previous prime is 537396128561. The next prime is 537396128663. The reversal of 537396128640 is 46821693735.

537396128640 is a `hidden beast` number, since 5 + 373 + 96 + 128 + 64 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1834116334 + ... + 1834116626.

It is an arithmetic number, because the mean of its divisors is an integer number (2176004250).

It is a 1-persistent number, because it is pandigital, but 2⋅537396128640 = 1074792257280 is not.

Almost surely, 2537396128640 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 537396128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114114176000).

537396128640 is an abundant number, since it is smaller than the sum of its proper divisors (1690832223360).

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

537396128640 is a wasteful number, since it uses less digits than its factorization.

537396128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 537396128640 in words is "five hundred thirty-seven billion, three hundred ninety-six million, one hundred twenty-eight thousand, six hundred forty".