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71011745201 = 293536936773
BaseRepresentation
bin100001000100010100…
…0010011110110110001
320210021221010102101002
41002020220103312301
52130413001321301
652342232051345
75062510606055
oct1021050236661
9223257112332
1071011745201
1128130308231
1211919833b55
136908c37857
14361913dc65
151ca936216b
hex1088a13db1

71011745201 has 8 divisors (see below), whose sum is σ = 73668539880. Its totient is φ = 68368824832.

The previous prime is 71011745191. The next prime is 71011745219. The reversal of 71011745201 is 10254711017.

It can be written as a sum of positive squares in 4 ways, for example, as 26691390625 + 44320354576 = 163375^2 + 210524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-71011745201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71011745401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3458150 + ... + 3478623.

It is an arithmetic number, because the mean of its divisors is an integer number (9208567485).

Almost surely, 271011745201 is an apocalyptic number.

It is an amenable number.

71011745201 is a deficient number, since it is larger than the sum of its proper divisors (2656794679).

71011745201 is a wasteful number, since it uses less digits than its factorization.

71011745201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937155.

The product of its (nonzero) digits is 1960, while the sum is 29.

The spelling of 71011745201 in words is "seventy-one billion, eleven million, seven hundred forty-five thousand, two hundred one".

Divisors: 1 29 353 10237 6936773 201166417 2448680869 71011745201