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81366609408 = 293729260951
BaseRepresentation
bin100101111000111010…
…0111110111000000000
321210000120122000200020
41023301310332320000
52313114323000113
6101213532453440
75610224524410
oct1136164767000
9253016560606
1081366609408
1131564369a47
121392961a280
1378992c2236
143d1c478640
1521b346a023
hex12f1d3ee00

81366609408 has 160 divisors (see below), whose sum is σ = 256275740160. Its totient is φ = 22445875200.

The previous prime is 81366609407. The next prime is 81366609419. The reversal of 81366609408 is 80490666318.

It is a super-2 number, since 2×813666094082 (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 (81366609407) 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, 181333 + ... + 442283.

It is an arithmetic number, because the mean of its divisors is an integer number (1601723376).

Almost surely, 281366609408 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 81366609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128137870080).

81366609408 is an abundant number, since it is smaller than the sum of its proper divisors (174909130752).

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

81366609408 is a wasteful number, since it uses less digits than its factorization.

81366609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261008 (or 260992 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 81366609408 in words is "eighty-one billion, three hundred sixty-six million, six hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 896 928 1218 1344 1392 1536 1624 1792 1856 2436 2688 2784 3248 3584 3712 4872 5376 5568 6496 7424 9744 10752 11136 12992 14848 19488 22272 25984 38976 44544 51968 77952 103936 155904 260951 311808 521902 782853 1043804 1565706 1826657 2087608 3131412 3653314 4175216 5479971 6262824 7306628 7567579 8350432 10959942 12525648 14613256 15135158 16700864 21919884 22702737 25051296 29226512 30270316 33401728 43839768 45405474 50102592 52973053 58453024 60540632 66803456 87679536 90810948 100205184 105946106 116906048 121081264 133606912 158919159 175359072 181621896 200410368 211892212 233812096 242162528 317838318 350718144 363243792 400820736 423784424 467624192 484325056 635676636 701436288 726487584 847568848 935248384 968650112 1271353272 1402872576 1452975168 1695137696 1937300224 2542706544 2805745152 2905950336 3390275392 3874600448 5085413088 5811900672 6780550784 10170826176 11623801344 13561101568 20341652352 27122203136 40683304704 81366609408