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55740070729728 = 21133721121773137
BaseRepresentation
bin11001010110001111111110…
…00111011001100000000000
321022100200212100220202202000
430223013333013121200000
524301221131101322403
6314314345054024000
714512041625533600
oct1453077707314000
9238320770822660
1055740070729728
111684025a871600
126302970aa8000
13251435c86c428
14da9b95dd4c00
15669dd92427a3
hex32b1ff1d9800

55740070729728 has 3456 divisors, whose sum is σ = 228256789924800. Its totient is φ = 13341535764480.

The previous prime is 55740070729699. The next prime is 55740070729741. The reversal of 55740070729728 is 82792707004755.

55740070729728 is a `hidden beast` number, since 5 + 5 + 7 + 400 + 70 + 72 + 97 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 406861830076 + ... + 406861830212.

Almost surely, 255740070729728 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 55740070729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114128394962400).

55740070729728 is an abundant number, since it is smaller than the sum of its proper divisors (172516719195072).

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

55740070729728 is a wasteful number, since it uses less digits than its factorization.

55740070729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 55740070729728 in words is "fifty-five trillion, seven hundred forty billion, seventy million, seven hundred twenty-nine thousand, seven hundred twenty-eight".