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4056553560 = 23351372271087
BaseRepresentation
bin1111000111001010…
…0001100001011000
3101110201010021100110
43301302201201120
531301434203220
61510310004320
7202345064523
oct36162414130
911421107313
104056553560
1117a1900804
129526466a0
134c8562a67
142a6a75bba
1518b1e6be0
hexf1ca1858

4056553560 has 128 divisors (see below), whose sum is σ = 12323819520. Its totient is φ = 1068137472.

The previous prime is 4056553559. The next prime is 4056553573. The reversal of 4056553560 is 653556504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3731337 + ... + 3732423.

It is an arithmetic number, because the mean of its divisors is an integer number (96279840).

Almost surely, 24056553560 is an apocalyptic number.

4056553560 is a gapful number since it is divisible by the number (40) 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 4056553560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161909760).

4056553560 is an abundant number, since it is smaller than the sum of its proper divisors (8267265960).

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

4056553560 is a wasteful number, since it uses less digits than its factorization.

4056553560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The square root of 4056553560 is about 63691.0791241599. The cubic root of 4056553560 is about 1594.8471678065.

The spelling of 4056553560 in words is "four billion, fifty-six million, five hundred fifty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 227 274 411 454 548 681 685 822 908 1087 1096 1135 1362 1370 1644 1816 2055 2174 2270 2724 2740 3261 3288 3405 4110 4348 4540 5435 5448 5480 6522 6810 8220 8696 9080 10870 13044 13620 16305 16440 21740 26088 27240 31099 32610 43480 62198 65220 93297 124396 130440 148919 155495 186594 246749 248792 297838 310990 373188 446757 466485 493498 595676 621980 740247 744595 746376 893514 932970 986996 1191352 1233745 1243960 1480494 1489190 1787028 1865940 1973992 2233785 2467490 2960988 2978380 3574056 3701235 3731880 4467570 4934980 5921976 5956760 7402470 8935140 9869960 14804940 17870280 29609880 33804613 67609226 101413839 135218452 169023065 202827678 270436904 338046130 405655356 507069195 676092260 811310712 1014138390 1352184520 2028276780 4056553560