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81240977152 = 288917320611
BaseRepresentation
bin100101110101001010…
…1101110111100000000
321202200211020020121201
41023222111232330000
52312340142232102
6101153244030544
75604140624536
oct1135225567400
9252624206551
1081240977152
11314aa460635
12138b3532454
13787927581a
143d098d4156
1521a7400987
hex12ea56ef00

81240977152 has 72 divisors (see below), whose sum is σ = 164942583120. Its totient is φ = 39929978880.

The previous prime is 81240977149. The next prime is 81240977171. The reversal of 81240977152 is 25177904218.

It is a super-2 number, since 2×812409771522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931327 + ... + 3951937.

It is an arithmetic number, because the mean of its divisors is an integer number (2290869210).

Almost surely, 281240977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81240977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82471291560).

81240977152 is an abundant number, since it is smaller than the sum of its proper divisors (83701605968).

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

81240977152 is a wasteful number, since it uses less digits than its factorization.

81240977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20889 (or 20875 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 81240977152 in words is "eighty-one billion, two hundred forty million, nine hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 89 128 173 178 256 346 356 692 712 1384 1424 2768 2848 5536 5696 11072 11392 15397 20611 22144 22784 30794 41222 44288 61588 82444 123176 164888 246352 329776 492704 659552 985408 1319104 1834379 1970816 2638208 3565703 3668758 3941632 5276416 7131406 7337516 14262812 14675032 28525624 29350064 57051248 58700128 114102496 117400256 228204992 234800512 317347567 456409984 469601024 634695134 912819968 1269390268 2538780536 5077561072 10155122144 20310244288 40620488576 81240977152