Search a number
-
+
54879090876 = 2232192915111831
BaseRepresentation
bin110011000111000011…
…000111100010111100
312020122121200200001100
4303013003013202330
51344343021402001
641113333213100
73651645401331
oct630703074274
9166577620040
1054879090876
11213018a8265
12a776a91190
13523784694c
14292871a988
151662db6586
hexcc70c78bc

54879090876 has 144 divisors (see below), whose sum is σ = 151241126400. Its totient is φ = 16712438400.

The previous prime is 54879090863. The next prime is 54879090883. The reversal of 54879090876 is 67809097845.

54879090876 is a `hidden beast` number, since 548 + 7 + 9 + 0 + 9 + 0 + 87 + 6 = 666.

54879090876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29971281 + ... + 29973111.

It is an arithmetic number, because the mean of its divisors is an integer number (1050285600).

Almost surely, 254879090876 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 54879090876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620563200).

54879090876 is an abundant number, since it is smaller than the sum of its proper divisors (96362035524).

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

54879090876 is a wasteful number, since it uses less digits than its factorization.

54879090876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 54879090876 in words is "fifty-four billion, eight hundred seventy-nine million, ninety thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1511 1653 1831 2204 3022 3306 3662 4533 4959 5493 6044 6612 7324 9066 9918 10986 13599 16479 18132 19836 21972 27198 28709 32958 34789 43819 53099 54396 57418 65916 69578 86127 87638 104367 106198 114836 131457 139156 159297 172254 175276 208734 212396 258381 262914 313101 318594 344508 394371 417468 477891 516762 525828 626202 637188 788742 832561 955782 1008881 1033524 1252404 1577484 1665122 1911564 2017762 2497683 2766641 3026643 3330244 4035524 4995366 5533282 6053286 7493049 8299923 9079929 9990732 11066564 12106572 14986098 16599846 18159858 24899769 29972196 33199692 36319716 49799538 52566179 80232589 99599076 105132358 157698537 160465178 210264716 240697767 315397074 320930356 473095611 481395534 630794148 722093301 946191222 962791068 1444186602 1524419191 1892382444 2888373204 3048838382 4573257573 6097676764 9146515146 13719772719 18293030292 27439545438 54879090876