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2135448084 = 2237113536547
BaseRepresentation
bin111111101001000…
…0101101000010100
312111211020000001210
41333102011220110
513333133314314
6551522021420
7103630003110
oct17722055024
95454200053
102135448084
119a644a830
124b71a7870
1328054c863
14163876740
15c771a559
hex7f485a14

2135448084 has 96 divisors (see below), whose sum is σ = 6230762496. Its totient is φ = 553006080.

The previous prime is 2135448071. The next prime is 2135448101. The reversal of 2135448084 is 4808445312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322899 + ... + 329445.

It is an arithmetic number, because the mean of its divisors is an integer number (64903776).

Almost surely, 22135448084 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 2135448084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115381248).

2135448084 is an abundant number, since it is smaller than the sum of its proper divisors (4095314412).

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

2135448084 is a wasteful number, since it uses less digits than its factorization.

2135448084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2135448084 is about 46210.9087121212. The cubic root of 2135448084 is about 1287.7444076053.

The spelling of 2135448084 in words is "two billion, one hundred thirty-five million, four hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 353 462 706 924 1059 1412 2118 2471 3883 4236 4942 6547 7413 7766 9884 11649 13094 14826 15532 19641 23298 26188 27181 29652 39282 45829 46596 54362 72017 78564 81543 91658 108724 137487 144034 163086 183316 216051 274974 288068 326172 432102 504119 549948 864204 1008238 1512357 2016476 2311091 3024714 4622182 6049428 6933273 9244364 13866546 16177637 25422001 27733092 32355274 48532911 50844002 64710548 76266003 97065822 101688004 152532006 177954007 194131644 305064012 355908014 533862021 711816028 1067724042 2135448084