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81776342772 = 22332359557987
BaseRepresentation
bin100110000101000111…
…1111111011011110100
321211002010121122012000
41030022033333123310
52314434220432042
6101322330455300
75623331305335
oct1141217773364
9254063548160
1081776342772
1131754682763
1213a22894530
137933160c07
143d5aa5428c
1521d940274c
hex130a3ff6f4

81776342772 has 96 divisors (see below), whose sum is σ = 224980761600. Its totient is φ = 25631644896.

The previous prime is 81776342719. The next prime is 81776342773. The reversal of 81776342772 is 27724367718.

81776342772 is a `hidden beast` number, since 81 + 7 + 76 + 3 + 427 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81776342773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132438 + ... + 425549.

It is an arithmetic number, because the mean of its divisors is an integer number (2343549600).

Almost surely, 281776342772 is an apocalyptic number.

It is an amenable number.

81776342772 is an abundant number, since it is smaller than the sum of its proper divisors (143204418828).

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

81776342772 is a wasteful number, since it uses less digits than its factorization.

81776342772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558082 (or 558074 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 81776342772 in words is "eighty-one billion, seven hundred seventy-six million, three hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 59 69 92 108 118 138 177 207 236 276 354 414 531 621 708 828 1062 1242 1357 1593 2124 2484 2714 3186 4071 5428 6372 8142 12213 16284 24426 36639 48852 73278 146556 557987 1115974 1673961 2231948 3347922 5021883 6695844 10043766 12833701 15065649 20087532 25667402 30131298 32921233 38501103 51334804 60262596 65842466 77002206 98763699 115503309 131684932 154004412 197527398 231006618 296291097 346509927 395054796 462013236 592582194 693019854 757188359 888873291 1185164388 1386039708 1514376718 1777746582 2271565077 3028753436 3555493164 4543130154 6814695231 9086260308 13629390462 20444085693 27258780924 40888171386 81776342772