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83038051680 = 2535172995941
BaseRepresentation
bin100110101010101110…
…1000001110101100000
321221100001202002102120
41031111131001311200
52330030220123210
6102051441344240
75666521536063
oct1152535016540
9257301662376
1083038051680
11322418a72a1
1214115338080
137aa468012c
14403a4488da
15226007c270
hex1355741d60

83038051680 has 48 divisors (see below), whose sum is σ = 261569864304. Its totient is φ = 22143480320.

The previous prime is 83038051643. The next prime is 83038051703. The reversal of 83038051680 is 8615083038.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86497491 + ... + 86498450.

It is an arithmetic number, because the mean of its divisors is an integer number (5449372173).

Almost surely, 283038051680 is an apocalyptic number.

83038051680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83038051680 is an abundant number, since it is smaller than the sum of its proper divisors (178531812624).

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

83038051680 is a wasteful number, since it uses less digits than its factorization.

83038051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172995959 (or 172995951 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 83038051680 in words is "eighty-three billion, thirty-eight million, fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 172995941 345991882 518987823 691983764 864979705 1037975646 1383967528 1729959410 2075951292 2594939115 2767935056 3459918820 4151902584 5189878230 5535870112 6919837640 8303805168 10379756460 13839675280 16607610336 20759512920 27679350560 41519025840 83038051680