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84064108752 = 243213151297391
BaseRepresentation
bin100111001001010011…
…1001000000011010000
322000222120110012010100
41032102213020003100
52334130402440002
6102341333332400
76034121064111
oct1162247100320
9260876405110
1084064108752
1132718aa8148
1214360a97100
137c091116b0
1440d681a208
1522c01a911c
hex13929c80d0

84064108752 has 120 divisors (see below), whose sum is σ = 255038620928. Its totient is φ = 25694496000.

The previous prime is 84064108729. The next prime is 84064108757. The reversal of 84064108752 is 25780146048.

It is a junction number, because it is equal to n+sod(n) for n = 84064108698 and 84064108707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84064108757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133977 + ... + 431367.

Almost surely, 284064108752 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 84064108752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127519310464).

84064108752 is an abundant number, since it is smaller than the sum of its proper divisors (170974512176).

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

84064108752 is a wasteful number, since it uses less digits than its factorization.

84064108752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297569 (or 297560 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 84064108752 in words is "eighty-four billion, sixty-four million, one hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 151 156 208 234 302 312 453 468 604 624 906 936 1208 1359 1812 1872 1963 2416 2718 3624 3926 5436 5889 7248 7852 10872 11778 15704 17667 21744 23556 31408 35334 47112 70668 94224 141336 282672 297391 594782 892173 1189564 1784346 2379128 2676519 3568692 3866083 4758256 5353038 7137384 7732166 10706076 11598249 14274768 15464332 21412152 23196498 30928664 34794747 42824304 44906041 46392996 61857328 69589494 89812082 92785992 134718123 139178988 179624164 185571984 269436246 278357976 359248328 404154369 538872492 556715952 583778533 718496656 808308738 1077744984 1167557066 1616617476 1751335599 2155489968 2335114132 3233234952 3502671198 4670228264 5254006797 6466469904 7005342396 9340456528 10508013594 14010684792 21016027188 28021369584 42032054376 84064108752