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2612433054 = 2371131473881
BaseRepresentation
bin1001101110110110…
…1001000010011110
320202001202100102210
42123231221002132
520322240324204
61111121301250
7121511212620
oct23355510236
96661670383
102612433054
111120717690
1260aa94826
1332830709a
141aad5ac10
15104539389
hex9bb6909e

2612433054 has 128 divisors (see below), whose sum is σ = 6869090304. Its totient is φ = 642528000.

The previous prime is 2612433041. The next prime is 2612433059. The reversal of 2612433054 is 4503342162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612433059) 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 63 ways as a sum of consecutive naturals, for example, 671194 + ... + 675074.

It is an arithmetic number, because the mean of its divisors is an integer number (53664768).

Almost surely, 22612433054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612433054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434545152).

2612433054 is an abundant number, since it is smaller than the sum of its proper divisors (4256657250).

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

2612433054 is a wasteful number, since it uses less digits than its factorization.

2612433054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2612433054 is about 51111.9658592780. The cubic root of 2612433054 is about 1377.2572166195.

The spelling of 2612433054 in words is "two billion, six hundred twelve million, four hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 47 62 66 77 93 94 141 154 186 217 231 282 329 341 434 462 517 651 658 682 987 1023 1034 1302 1457 1551 1974 2046 2387 2914 3102 3619 3881 4371 4774 7161 7238 7762 8742 10199 10857 11643 14322 16027 20398 21714 23286 27167 30597 32054 42691 48081 54334 61194 81501 85382 96162 112189 120311 128073 163002 182407 224378 240622 256146 298837 336567 360933 364814 547221 597674 673134 721866 842177 896511 1094442 1276849 1323421 1684354 1793022 2006477 2526531 2553698 2646842 3830547 3970263 4012954 5053062 5654617 6019431 7661094 7940526 9263947 11309234 12038862 14045339 16963851 18527894 27791841 28090678 33927702 39582319 42136017 55583682 62200787 79164638 84272034 118746957 124401574 186602361 237493914 373204722 435405509 870811018 1306216527 2612433054