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81377745624 = 23327413938141
BaseRepresentation
bin100101111001001111…
…1011101101011011000
321210001100120210200200
41023302133131223120
52313130200324444
6101215011302200
75610421265460
oct1136237355330
9253040523620
1081377745624
113156a68582a
12139312aa960
13789b6c1006
143d1db36ba0
1521b4419969
hex12f27ddad8

81377745624 has 96 divisors (see below), whose sum is σ = 258027063840. Its totient is φ = 22683686400.

The previous prime is 81377745623. The next prime is 81377745629. The reversal of 81377745624 is 42654777318.

81377745624 is a `hidden beast` number, since 8 + 1 + 3 + 7 + 7 + 7 + 4 + 5 + 624 = 666.

It is a super-2 number, since 2×813777456242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81377745623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948407 + ... + 1989734.

It is an arithmetic number, because the mean of its divisors is an integer number (2687781915).

Almost surely, 281377745624 is an apocalyptic number.

81377745624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81377745624 is an abundant number, since it is smaller than the sum of its proper divisors (176649318216).

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

81377745624 is a wasteful number, since it uses less digits than its factorization.

81377745624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938201 (or 3938194 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 81377745624 in words is "eighty-one billion, three hundred seventy-seven million, seven hundred forty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 3938141 7876282 11814423 15752564 23628846 27566987 31505128 35443269 47257692 55133974 70886538 82700961 94515384 110267948 141773076 161463781 165401922 220535896 248102883 283546152 322927562 330803844 484391343 496205766 645855124 661607688 968782686 992411532 1130246467 1291710248 1453174029 1937565372 1984823064 2260492934 2906348058 3390739401 3875130744 4520985868 5812696116 6781478802 9041971736 10172218203 11625392232 13562957604 20344436406 27125915208 40688872812 81377745624