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12635444052 = 22327116776733
BaseRepresentation
bin10111100010010000…
…11001001101010100
31012121120211001201100
423301020121031110
5201334133202202
65445445230100
7625055334210
oct136110311524
935546731640
1012635444052
1153a4419150
122547702330
1312649c031a
1487c18d940
154de44041c
hex2f1219354

12635444052 has 144 divisors (see below), whose sum is σ = 39885535872. Its totient is φ = 3276599040.

The previous prime is 12635443999. The next prime is 12635444053. The reversal of 12635444052 is 25044453621.

12635444052 is a `hidden beast` number, since 1 + 2 + 63 + 544 + 4 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12635443998 and 12635444016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635444053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1873278 + ... + 1880010.

It is an arithmetic number, because the mean of its divisors is an integer number (276982888).

Almost surely, 212635444052 is an apocalyptic number.

12635444052 is a gapful number since it is divisible by the number (12) 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 12635444052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19942767936).

12635444052 is an abundant number, since it is smaller than the sum of its proper divisors (27250091820).

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

12635444052 is a wasteful number, since it uses less digits than its factorization.

12635444052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12635444052 its reverse (25044453621), we get a palindrome (37679897673).

The spelling of 12635444052 in words is "twelve billion, six hundred thirty-five million, four hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 677 693 924 1354 1386 2031 2708 2772 4062 4739 6093 6733 7447 8124 9478 12186 13466 14217 14894 18956 20199 22341 24372 26932 28434 29788 40398 42651 44682 47131 52129 56868 60597 67023 74063 80796 85302 89364 94262 104258 121194 134046 141393 148126 156387 170604 188524 208516 222189 242388 268092 282786 296252 312774 424179 444378 469161 518441 565572 625548 666567 848358 888756 938322 1036882 1333134 1555323 1696716 1876644 2073764 2666268 3110646 4558241 4665969 6221292 9116482 9331938 13674723 18232964 18663876 27349446 31907687 41024169 50140651 54698892 63815374 82048338 95723061 100281302 127630748 150421953 164096676 191446122 200562604 287169183 300843906 350984557 382892244 451265859 574338366 601687812 701969114 902531718 1052953671 1148676732 1403938228 1805063436 2105907342 3158861013 4211814684 6317722026 12635444052