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81428528384 = 287536591301
BaseRepresentation
bin100101111010110000…
…1001011110100000000
321210011220010211112122
41023311201023310000
52313231200402014
6101224023543412
75611606033250
oct1136541136400
9253156124478
1081428528384
1131596310655
12139462bab68
1378a9091798
143d26795960
1521b8aeb58e
hex12f584bd00

81428528384 has 144 divisors (see below), whose sum is σ = 189696608640. Its totient is φ = 34161254400.

The previous prime is 81428528341. The next prime is 81428528387. The reversal of 81428528384 is 48382582418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81428528387) 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, 62588534 + ... + 62589834.

It is an arithmetic number, because the mean of its divisors is an integer number (1317337560).

Almost surely, 281428528384 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 81428528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94848304320).

81428528384 is an abundant number, since it is smaller than the sum of its proper divisors (108268080256).

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

81428528384 is a wasteful number, since it uses less digits than its factorization.

81428528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 53.

The spelling of 81428528384 in words is "eighty-one billion, four hundred twenty-eight million, five hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 659 742 848 896 1301 1318 1484 1696 1792 2602 2636 2968 3392 4613 5204 5272 5936 6784 9107 9226 10408 10544 11872 13568 18214 18452 20816 21088 23744 34927 36428 36904 41632 42176 47488 68953 69854 72856 73808 83264 84352 94976 137906 139708 145712 147616 166528 168704 244489 275812 279416 291424 295232 333056 482671 488978 551624 558832 582848 590464 857359 965342 977956 1103248 1117664 1165696 1180928 1714718 1930684 1955912 2206496 2235328 2331392 3429436 3861368 3911824 4412992 4470656 6001513 6858872 7722736 7823648 8825984 8941312 12003026 13717744 15445472 15647296 17651968 24006052 27435488 30890944 31294592 45440027 48012104 54870976 61781888 62589184 90880054 96024208 109741952 123563776 181760108 192048416 219483904 318080189 363520216 384096832 636160378 727040432 768193664 1272320756 1454080864 1536387328 2544641512 2908161728 5089283024 5816323456 10178566048 11632646912 20357132096 40714264192 81428528384