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1055145746304 = 273213257274147
BaseRepresentation
bin11110101101010111001…
…01100101111110000000
310201212111220212121000100
433112223211211332000
5114241414302340204
62124421031122400
7136142331601416
oct17265345457600
93655456777010
101055145746304
113775372a2341
121505b2213400
1378666136b60
14390d83372b6
151c6a7c51a39
hexf5ab965f80

1055145746304 has 192 divisors, whose sum is σ = 3282587839440. Its totient is φ = 323395780608.

The previous prime is 1055145746279. The next prime is 1055145746327. The reversal of 1055145746304 is 4036475415501.

It is a happy number.

1055145746304 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 1 + 4 + 5 + 7 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10551457463042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055145746304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3711759 + ... + 3985905.

Almost surely, 21055145746304 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 1055145746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641293919720).

1055145746304 is an abundant number, since it is smaller than the sum of its proper divisors (2227442093136).

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

1055145746304 is a wasteful number, since it uses less digits than its factorization.

1055145746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274437 (or 274422 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1055145746304 in words is "one trillion, fifty-five billion, one hundred forty-five million, seven hundred forty-six thousand, three hundred four".