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2139481624 = 2371971127223
BaseRepresentation
bin111111110000101…
…1110011000011000
312112002210221001011
41333201132120120
513340201402444
6552144303304
7104006202520
oct17741363030
95462727034
102139481624
119a8755235
124b8611b34
13281332777
14164206680
15c7c65734
hex7f85e618

2139481624 has 128 divisors (see below), whose sum is σ = 4954521600. Its totient is φ = 845873280.

The previous prime is 2139481607. The next prime is 2139481649. The reversal of 2139481624 is 4261849312.

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 31 ways as a sum of consecutive naturals, for example, 9593977 + ... + 9594199.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 22139481624 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 2139481624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477260800).

2139481624 is an abundant number, since it is smaller than the sum of its proper divisors (2815039976).

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

2139481624 is a wasteful number, since it uses less digits than its factorization.

2139481624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 2139481624 is about 46254.5308483396. The cubic root of 2139481624 is about 1288.5546827743.

The spelling of 2139481624 in words is "two billion, one hundred thirty-nine million, four hundred eighty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 71 76 127 133 142 152 223 254 266 284 446 497 508 532 568 889 892 994 1016 1064 1349 1561 1778 1784 1988 2413 2698 3122 3556 3976 4237 4826 5396 6244 7112 8474 9017 9443 9652 10792 12488 15833 16891 16948 18034 18886 19304 28321 29659 31666 33782 33896 36068 37772 56642 59318 63119 63332 67564 72136 75544 110831 113284 118636 126238 126664 135128 171323 198247 221662 226568 237272 252476 300827 342646 396494 443324 504952 538099 601654 685292 792988 886648 1076198 1199261 1203308 1370584 1585976 2010791 2105789 2152396 2398522 2406616 3766693 4021582 4211578 4304792 4797044 7533386 8043164 8423156 9594088 14075537 15066772 16086328 16846312 28151074 30133544 38205029 56302148 76410058 112604296 152820116 267435203 305640232 534870406 1069740812 2139481624