Search a number
-
+
81613443840 = 2835162713063
BaseRepresentation
bin100110000000010001…
…0100101001100000000
321210122210002111212020
41030000202211030000
52314121020200330
6101254231201440
75616312553335
oct1140042451400
9253583074766
1081613443840
1131680730345
1213998216280
137908496b06
143d4316c98c
1521c9e76210
hex13008a5300

81613443840 has 144 divisors (see below), whose sum is σ = 260833106688. Its totient is φ = 21748543488.

The previous prime is 81613443827. The next prime is 81613443871. The reversal of 81613443840 is 4834431618.

It is a junction number, because it is equal to n+sod(n) for n = 81613443792 and 81613443801.

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, 6241149 + ... + 6254211.

Almost surely, 281613443840 is an apocalyptic number.

81613443840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81613443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130416553344).

81613443840 is an abundant number, since it is smaller than the sum of its proper divisors (179219662848).

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

81613443840 is a wasteful number, since it uses less digits than its factorization.

81613443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14714 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 81613443840 in words is "eighty-one billion, six hundred thirteen million, four hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1627 1920 3254 3840 4881 6508 8135 9762 13016 13063 16270 19524 24405 26032 26126 32540 39048 39189 48810 52064 52252 65080 65315 78096 78378 97620 104128 104504 130160 130630 156192 156756 195240 195945 208256 209008 260320 261260 312384 313512 390480 391890 416512 418016 520640 522520 624768 627024 780960 783780 836032 1041280 1045040 1249536 1254048 1561920 1567560 1672064 2082560 2090080 2508096 3123840 3135120 3344128 4180160 5016192 6247680 6270240 8360320 10032384 12540480 16720640 21253501 25080960 42507002 50161920 63760503 85014004 106267505 127521006 170028008 212535010 255042012 318802515 340056016 425070020 510084024 637605030 680112032 850140040 1020168048 1275210060 1360224064 1700280080 2040336096 2550420120 2720448128 3400560160 4080672192 5100840240 5440896256 6801120320 8161344384 10201680480 13602240640 16322688768 20403360960 27204481280 40806721920 81613443840