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2083153878 = 2321313167957
BaseRepresentation
bin111110000101010…
…0110011111010110
312101011211011220100
41330022212133112
513231241411003
6542413114530
7102423341631
oct17412463726
95334734810
102083153878
11979982383
124a1788a46
13272770140
1415a942c18
15c2d3aba3
hex7c2a67d6

2083153878 has 48 divisors (see below), whose sum is σ = 4897868976. Its totient is φ = 636068160.

The previous prime is 2083153873. The next prime is 2083153913. The reversal of 2083153878 is 8783513802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083153873) 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, 3325 + ... + 64632.

It is an arithmetic number, because the mean of its divisors is an integer number (102038937).

Almost surely, 22083153878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083153878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448934488).

2083153878 is an abundant number, since it is smaller than the sum of its proper divisors (2814715098).

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

2083153878 is a wasteful number, since it uses less digits than its factorization.

2083153878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68109 (or 68106 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2083153878 is about 45641.5805817459. The cubic root of 2083153878 is about 1277.1457147190.

It can be divided in two parts, 2083 and 153878, that added together give a triangular number (155961 = T558).

The spelling of 2083153878 in words is "two billion, eighty-three million, one hundred fifty-three thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 3406 5109 10218 15327 30654 67957 135914 203871 407742 611613 883441 1223226 1766882 2650323 5300646 7950969 8902367 15901938 17804734 26707101 53414202 80121303 115730771 160242606 231461542 347192313 694384626 1041576939 2083153878