Search a number
-
+
2086139496 = 2337174316987
BaseRepresentation
bin111110001010111…
…1111011001101000
312101101102212101210
41330111333121220
513233022430441
6543001113120
7102460615230
oct17425773150
95341385353
102086139496
11980631531
124a27887a0
1327327708c
1415b0bccc0
15c322a616
hex7c57f668

2086139496 has 128 divisors (see below), whose sum is σ = 6458158080. Its totient is φ = 547900416.

The previous prime is 2086139483. The next prime is 2086139501. The reversal of 2086139496 is 6949316802.

It is a super-2 number, since 2×20861394962 = 8703955993542268032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114315 + ... + 131301.

It is an arithmetic number, because the mean of its divisors is an integer number (50454360).

Almost surely, 22086139496 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 2086139496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229079040).

2086139496 is an abundant number, since it is smaller than the sum of its proper divisors (4372018584).

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

2086139496 is a wasteful number, since it uses less digits than its factorization.

2086139496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2086139496 is about 45674.2760862173. The cubic root of 2086139496 is about 1277.7555670953.

The spelling of 2086139496 in words is "two billion, eighty-six million, one hundred thirty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 344 357 408 476 516 602 714 731 903 952 1032 1204 1428 1462 1806 2193 2408 2856 2924 3612 4386 5117 5848 7224 8772 10234 15351 16987 17544 20468 30702 33974 40936 50961 61404 67948 101922 118909 122808 135896 203844 237818 288779 356727 407688 475636 577558 713454 730441 866337 951272 1155116 1426908 1460882 1732674 2021453 2191323 2310232 2853816 2921764 3465348 4042906 4382646 5113087 5843528 6064359 6930696 8085812 8765292 10226174 12128718 12417497 15339261 16171624 17530584 20452348 24257436 24834994 30678522 37252491 40904696 48514872 49669988 61357044 74504982 86922479 99339976 122714088 149009964 173844958 260767437 298019928 347689916 521534874 695379832 1043069748 2086139496