Search a number
-
+
81362200032 = 2533559116843
BaseRepresentation
bin100101111000110010…
…0001010010111100000
321210000021100000011000
41023301210022113200
52313112210400112
6101213254152000
75610142201161
oct1136144122740
9253007300130
1081362200032
1131561928133
1213928052600
13789840a239
143d1ba4b768
1521b2d987dc
hex12f190a5e0

81362200032 has 96 divisors (see below), whose sum is σ = 237362952960. Its totient is φ = 27114272640.

The previous prime is 81362200027. The next prime is 81362200061. The reversal of 81362200032 is 23000226318.

81362200032 is a `hidden beast` number, since 8 + 1 + 3 + 622 + 0 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81362199969 and 81362200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4822203 + ... + 4839045.

It is an arithmetic number, because the mean of its divisors is an integer number (2472530760).

Almost surely, 281362200032 is an apocalyptic number.

It is an amenable number.

81362200032 is an abundant number, since it is smaller than the sum of its proper divisors (156000752928).

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

81362200032 is a wasteful number, since it uses less digits than its factorization.

81362200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22453 (or 22439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 81362200032 in words is "eighty-one billion, three hundred sixty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5591 11182 16773 16843 22364 33546 33686 44728 50319 50529 67092 67372 89456 100638 101058 134184 134744 150957 151587 178912 201276 202116 268368 269488 301914 303174 402552 404232 454761 536736 538976 603828 606348 805104 808464 909522 1207656 1212696 1610208 1616928 1819044 2415312 2425392 3638088 4830624 4850784 7276176 14552352 94169213 188338426 282507639 376676852 565015278 753353704 847522917 1130030556 1506707408 1695045834 2260061112 2542568751 3013414816 3390091668 4520122224 5085137502 6780183336 9040244448 10170275004 13560366672 20340550008 27120733344 40681100016 81362200032