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84514643920 = 2457983153529
BaseRepresentation
bin100111010110101110…
…1110001111111010000
322002010222012202012001
41032231131301333100
52341041222101140
6102454150043344
76051231422530
oct1165535617720
9262128182161
1084514643920
113292a349963
1214467949554
137c7b567b55
14413a5b74c0
1522e9a00e9a
hex13ad771fd0

84514643920 has 80 divisors (see below), whose sum is σ = 224797397760. Its totient is φ = 28946783232.

The previous prime is 84514643893. The next prime is 84514643959. The reversal of 84514643920 is 2934641548.

It is a tau number, because it is divible by the number of its divisors (80).

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, 473716 + ... + 627244.

It is an arithmetic number, because the mean of its divisors is an integer number (2809967472).

Almost surely, 284514643920 is an apocalyptic number.

84514643920 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 84514643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112398698880).

84514643920 is an abundant number, since it is smaller than the sum of its proper divisors (140282753840).

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

84514643920 is a wasteful number, since it uses less digits than its factorization.

84514643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154532 (or 154526 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 84514643920 in words is "eighty-four billion, five hundred fourteen million, six hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 983 1966 3932 4915 6881 7864 9830 13762 15728 19660 27524 34405 39320 55048 68810 78640 110096 137620 153529 275240 307058 550480 614116 767645 1074703 1228232 1535290 2149406 2456464 3070580 4298812 5373515 6141160 8597624 10747030 12282320 17195248 21494060 42988120 85976240 150919007 301838014 603676028 754595035 1056433049 1207352056 1509190070 2112866098 2414704112 3018380140 4225732196 5282165245 6036760280 8451464392 10564330490 12073520560 16902928784 21128660980 42257321960 84514643920