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51711155741 = 7541101743
BaseRepresentation
bin110000001010001110…
…011001111000011101
311221110211122220000102
4300022032121320131
51321401023440431
635431125310445
73510310400000
oct601216317035
9157424586012
1051711155741
111aa26665753
12a031b65425
134b51423c0b
142707abb537
151529beddcb
hexc0a399e1d

51711155741 has 48 divisors (see below), whose sum is σ = 62496499968. Its totient is φ = 42757008000.

The previous prime is 51711155723. The next prime is 51711155761. The reversal of 51711155741 is 14755111715.

It is a de Polignac number, because none of the positive numbers 2k-51711155741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51711155695 and 51711155704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51711155701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69597416 + ... + 69598158.

It is an arithmetic number, because the mean of its divisors is an integer number (1302010416).

Almost surely, 251711155741 is an apocalyptic number.

It is an amenable number.

51711155741 is a deficient number, since it is larger than the sum of its proper divisors (10785344227).

51711155741 is an frugal number, since it uses more digits than its factorization.

51711155741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 892 counting only the distinct ones).

The product of its digits is 24500, while the sum is 38.

The spelling of 51711155741 in words is "fifty-one billion, seven hundred eleven million, one hundred fifty-five thousand, seven hundred forty-one".

Divisors: 1 7 41 49 101 287 343 707 743 2009 2401 4141 4949 5201 14063 16807 28987 30463 34643 36407 75043 98441 202909 213241 242501 254849 525301 689087 1420363 1492687 1697507 1783943 3076763 3677107 9942541 10448809 12487601 21537341 25739749 69597787 73141663 150761387 180178243 511991641 1055329709 1261247701 7387307963 51711155741