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82416017468732 = 22893132331131729
BaseRepresentation
bin10010101111010011111001…
…011100011110110100111100
3101210210220010221221221222112
4102233103321130132310330
541300301000432444412
6451141221251433152
723234234512554113
oct2257237134366474
9353726127857875
1082416017468732
1124295489309692
1292b09395b57b8
1336caa492c606c
14164cd56a04c7a
1597dc6a606722
hex4af4f971ed3c

82416017468732 has 48 divisors (see below), whose sum is σ = 146325428323200. Its totient is φ = 40611799388160.

The previous prime is 82416017468723. The next prime is 82416017468773. The reversal of 82416017468732 is 23786471061428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597482244 + ... + 2597513972.

It is an arithmetic number, because the mean of its divisors is an integer number (3048446423400).

Almost surely, 282416017468732 is an apocalyptic number.

It is an amenable number.

82416017468732 is a deficient number, since it is larger than the sum of its proper divisors (63909410854468).

82416017468732 is a wasteful number, since it uses less digits than its factorization.

82416017468732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55446 (or 55444 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 82416017468732 in words is "eighty-two trillion, four hundred sixteen billion, seventeen million, four hundred sixty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 4 89 178 313 356 626 1252 23311 27857 31729 46622 55714 63458 93244 111428 126916 2074679 2823881 4149358 5647762 7296343 8298716 9931177 11295524 14592686 19862354 29185372 39724708 649374527 739634719 883874753 1298749054 1479269438 1767749506 2597498108 2958538876 3535499012 65827489991 131654979982 231505667047 263309959964 463011334094 926022668188 20604004367183 41208008734366 82416017468732