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81220742456 = 2377985321523
BaseRepresentation
bin100101110100100100…
…0100010110100111000
321202122102011012211112
41023221020202310320
52312320002224311
6101151242215452
75603503630340
oct1135110426470
9252572135745
1081220742456
1131499a9aa47
12138a87b4588
13787500c629
143d06d47d20
1521a575528b
hex12e9222d38

81220742456 has 64 divisors (see below), whose sum is σ = 176462361600. Its totient is φ = 34326384768.

The previous prime is 81220742387. The next prime is 81220742459. The reversal of 81220742456 is 65424702218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81220742459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762911 + ... + 3784433.

It is an arithmetic number, because the mean of its divisors is an integer number (2757224400).

Almost surely, 281220742456 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 81220742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88231180800).

81220742456 is an abundant number, since it is smaller than the sum of its proper divisors (95241619144).

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

81220742456 is a wasteful number, since it uses less digits than its factorization.

81220742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22468 (or 22464 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 81220742456 in words is "eighty-one billion, two hundred twenty million, seven hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 853 1106 1706 2212 3412 4424 5971 6824 11942 21523 23884 43046 47768 67387 86092 134774 150661 172184 269548 301322 471709 539096 602644 943418 1205288 1700317 1886836 3400634 3773672 6801268 11902219 13602536 18359119 23804438 36718238 47608876 73436476 95217752 128513833 146872952 257027666 514055332 1028110664 1450370401 2900740802 5801481604 10152592807 11602963208 20305185614 40610371228 81220742456