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53381914761 = 37173741241409
BaseRepresentation
bin110001101101110011…
…110110000010001001
312002210021111020112010
4301231303312002021
51333311232233021
640305011410133
73566565534360
oct615563660211
9162707436463
1053381914761
112070377672a
12a4195b3949
135059602b16
1428259507d7
1515c6728976
hexc6dcf6089

53381914761 has 128 divisors (see below), whose sum is σ = 91212549120. Its totient is φ = 27072921600.

The previous prime is 53381914723. The next prime is 53381914783. The reversal of 53381914761 is 16741918335.

53381914761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53381914761 - 29 = 53381914249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53381914761.

It is not an unprimeable number, because it can be changed into a prime (53381915761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130517925 + ... + 130518333.

It is an arithmetic number, because the mean of its divisors is an integer number (712598040).

Almost surely, 253381914761 is an apocalyptic number.

53381914761 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

53381914761 is a deficient number, since it is larger than the sum of its proper divisors (37830634359).

53381914761 is a wasteful number, since it uses less digits than its factorization.

53381914761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its digits is 544320, while the sum is 48.

The spelling of 53381914761 in words is "fifty-three billion, three hundred eighty-one million, nine hundred fourteen thousand, seven hundred sixty-one".

Divisors: 1 3 7 17 21 37 41 51 111 119 123 241 259 287 357 409 629 697 723 777 861 1227 1517 1687 1887 2091 2863 4097 4403 4551 4879 5061 6953 8589 8917 9881 10619 12291 13209 14637 15133 16769 20859 25789 26751 28679 29643 31857 45399 48671 50307 62419 69167 77367 86037 98569 105931 117383 146013 151589 167977 180523 187257 207501 257261 285073 295707 317793 352149 365597 454767 503931 541569 620453 689983 771783 855219 1061123 1096791 1175839 1675673 1800827 1861359 1995511 2069949 2559179 3183369 3527517 3647053 4041329 4343171 5027019 5402481 5986533 6215149 7677537 10547701 10941159 11729711 12123987 13029513 18645447 25529371 28289303 31643103 35189133 43506043 61999901 68702593 73833907 76588113 84867909 130518129 149529173 185999703 206107779 221501721 433999307 448587519 480918151 1046704211 1301997921 1442754453 2541995941 3140112633 7625987823 17793971587 53381914761