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3135087552 = 263193723227
BaseRepresentation
bin1011101011011101…
…1010001111000000
322002111012221121210
42322313122033000
522410040300202
61235031450120
7140455542642
oct27267321700
98074187553
103135087552
111369747753
12735b26940
133ac6918bc
1421a52c892
15135379c6c
hexbadda3c0

3135087552 has 112 divisors (see below), whose sum is σ = 8967866240. Its totient is φ = 963228672.

The previous prime is 3135087551. The next prime is 3135087581. The reversal of 3135087552 is 2557805313.

It is a self number, because there is not a number n which added to its sum of digits gives 3135087552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135087551) 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, 123363 + ... + 146589.

Almost surely, 23135087552 is an apocalyptic number.

3135087552 is a gapful number since it is divisible by the number (32) 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 3135087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483933120).

3135087552 is an abundant number, since it is smaller than the sum of its proper divisors (5832778688).

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

3135087552 is a wasteful number, since it uses less digits than its factorization.

3135087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23298 (or 23288 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 3135087552 is about 55991.8525501702. The cubic root of 3135087552 is about 1463.5803090917.

The spelling of 3135087552 in words is "three billion, one hundred thirty-five million, eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1776 1824 2109 2368 2812 3552 3648 4218 5624 7104 8436 11248 16872 22496 23227 33744 44992 46454 67488 69681 92908 134976 139362 185816 278724 371632 441313 557448 743264 859399 882626 1114896 1323939 1486528 1718798 1765252 2229792 2578197 2647878 3437596 3530504 4459584 5156394 5295756 6875192 7061008 10312788 10591512 13750384 14122016 16328581 20625576 21183024 27500768 28244032 32657162 41251152 42366048 48985743 55001536 65314324 82502304 84732096 97971486 130628648 165004608 195942972 261257296 391885944 522514592 783771888 1045029184 1567543776 3135087552