Search a number
-
+
6836411904 = 29372272801
BaseRepresentation
bin1100101110111101…
…10101111000000000
3122122102220201002220
412113132311320000
5103000110140104
63050212011040
7331261354020
oct62736657000
918572821086
106836411904
112998a814a3
1213a9600a80
1384c45a25a
1448bd35a80
152a02a37d9
hex1977b5e00

6836411904 has 160 divisors (see below), whose sum is σ = 20913590016. Its totient is φ = 1943961600.

The previous prime is 6836411903. The next prime is 6836411941. The reversal of 6836411904 is 4091146386.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6836411903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2439304 + ... + 2442104.

Almost surely, 26836411904 is an apocalyptic number.

6836411904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6836411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456795008).

6836411904 is an abundant number, since it is smaller than the sum of its proper divisors (14077178112).

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

6836411904 is a wasteful number, since it uses less digits than its factorization.

6836411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6836411904 is about 82682.5973467210. The cubic root of 6836411904 is about 1897.9120094911.

The spelling of 6836411904 in words is "six billion, eight hundred thirty-six million, four hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 227 256 336 384 448 454 512 672 681 768 896 908 1344 1362 1536 1589 1792 1816 2688 2724 2801 3178 3584 3632 4767 5376 5448 5602 6356 7264 8403 9534 10752 10896 11204 12712 14528 16806 19068 19607 21792 22408 25424 29056 33612 38136 39214 43584 44816 50848 58112 58821 67224 76272 78428 87168 89632 101696 116224 117642 134448 152544 156856 174336 179264 203392 235284 268896 305088 313712 348672 358528 406784 470568 537792 610176 627424 635827 717056 813568 941136 1075584 1220352 1254848 1271654 1434112 1882272 1907481 2151168 2440704 2509696 2543308 3764544 3814962 4302336 4450789 5019392 5086616 7529088 7629924 8901578 10038784 10173232 13352367 15058176 15259848 17803156 20346464 26704734 30116352 30519696 35606312 40692928 53409468 61039392 71212624 81385856 106818936 122078784 142425248 162771712 213637872 244157568 284850496 325543424 427275744 488315136 569700992 854551488 976630272 1139401984 1709102976 2278803968 3418205952 6836411904