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2139149826 = 232114126427
BaseRepresentation
bin111111110000000…
…1101011000000010
312112002012001220100
41333200031120002
513340110243301
6552133223230
7104003321262
oct17740153002
95462161810
102139149826
119a8548a20
124b8491b16
13281247738
1416415b7a2
15c7bec286
hex7f80d602

2139149826 has 72 divisors (see below), whose sum is σ = 5183307792. Its totient is φ = 632318400.

The previous prime is 2139149819. The next prime is 2139149833. The reversal of 2139149826 is 6289419312.

2139149826 is a `hidden beast` number, since 2 + 139 + 1 + 498 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (2139149819) and next prime (2139149833).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329625 + ... + 336051.

It is an arithmetic number, because the mean of its divisors is an integer number (71990386).

Almost surely, 22139149826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139149826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591653896).

2139149826 is an abundant number, since it is smaller than the sum of its proper divisors (3044157966).

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

2139149826 is a wasteful number, since it uses less digits than its factorization.

2139149826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6484 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2139149826 is about 46250.9440552298. The cubic root of 2139149826 is about 1288.4880682004.

It can be divided in two parts, 21391 and 49826, that added together give a palindrome (71217).

The spelling of 2139149826 in words is "two billion, one hundred thirty-nine million, one hundred forty-nine thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 1681 2706 3362 4059 5043 6427 8118 10086 12854 15129 18491 19281 30258 36982 38562 55473 57843 70697 110946 115686 141394 166419 212091 263507 332838 424182 527014 636273 790521 1272546 1581042 2371563 2898577 4743126 5797154 8695731 10803787 17391462 21607574 26087193 32411361 52174386 64822722 97234083 118841657 194468166 237683314 356524971 713049942 1069574913 2139149826