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13263452440 = 2357412514603
BaseRepresentation
bin11000101101001000…
…00011100100011000
31021020100112012021021
430112210003210120
5204130420434230
610032041452224
7646452325360
oct142644034430
937210465237
1013263452440
115696967147
1226a1aa1074
131334b44514
148db7479a0
15529641c7a
hex316903918

13263452440 has 128 divisors (see below), whose sum is σ = 35084689920. Its totient is φ = 4417920000.

The previous prime is 13263452429. The next prime is 13263452533. The reversal of 13263452440 is 4425436231.

It is a junction number, because it is equal to n+sod(n) for n = 13263452396 and 13263452405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879179 + ... + 2883781.

It is an arithmetic number, because the mean of its divisors is an integer number (274099140).

Almost surely, 213263452440 is an apocalyptic number.

13263452440 is a gapful number since it is divisible by the number (10) 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 13263452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542344960).

13263452440 is an abundant number, since it is smaller than the sum of its proper divisors (21821237480).

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

13263452440 is a wasteful number, since it uses less digits than its factorization.

13263452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 13263452440 its reverse (4425436231), we get a palindrome (17688888671).

The spelling of 13263452440 in words is "thirteen billion, two hundred sixty-three million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 251 280 287 328 410 502 574 820 1004 1148 1255 1435 1640 1757 2008 2296 2510 2870 3514 4603 5020 5740 7028 8785 9206 10040 10291 11480 14056 17570 18412 20582 23015 32221 35140 36824 41164 46030 51455 64442 70280 72037 82328 92060 102910 128884 144074 161105 184120 188723 205820 257768 288148 322210 360185 377446 411640 576296 644420 720370 754892 943615 1155353 1288840 1321061 1440740 1509784 1887230 2310706 2642122 2881480 3774460 4621412 5284244 5776765 6605305 7548920 8087471 9242824 10568488 11553530 13210610 16174942 23107060 26421220 32349884 40437355 46214120 47369473 52842440 64699768 80874710 94738946 161749420 189477892 236847365 323498840 331586311 378955784 473694730 663172622 947389460 1326345244 1657931555 1894778920 2652690488 3315863110 6631726220 13263452440