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13552064040 = 2335438331643
BaseRepresentation
bin11001001111100010…
…00001011000101000
31021222110121011221210
430213301001120220
5210223312022130
610120431433120
7656555433534
oct144761013050
937873534853
1013552064040
115824872329
1227626857a0
13137c885808
14927bd4bc4
15544b515b0
hex327c41628

13552064040 has 128 divisors (see below), whose sum is σ = 42104240640. Its totient is φ = 3487201536.

The previous prime is 13552064039. The next prime is 13552064041. The reversal of 13552064040 is 4046025531.

It is an interprime number because it is at equal distance from previous prime (13552064039) and next prime (13552064041).

It is a super-2 number, since 2×135520640402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13552063989 and 13552064007.

It is not an unprimeable number, because it can be changed into a prime (13552064041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412459 + ... + 444101.

It is an arithmetic number, because the mean of its divisors is an integer number (328939380).

Almost surely, 213552064040 is an apocalyptic number.

13552064040 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 13552064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052120320).

13552064040 is an abundant number, since it is smaller than the sum of its proper divisors (28552176600).

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

13552064040 is a wasteful number, since it uses less digits than its factorization.

13552064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31783 (or 31779 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13552064040 its reverse (4046025531), we get a palindrome (17598089571).

The spelling of 13552064040 in words is "thirteen billion, five hundred fifty-two million, sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 83 86 120 129 166 172 215 249 258 332 344 415 430 498 516 645 664 830 860 996 1032 1245 1290 1660 1720 1992 2490 2580 3320 3569 4980 5160 7138 9960 10707 14276 17845 21414 28552 31643 35690 42828 53535 63286 71380 85656 94929 107070 126572 142760 158215 189858 214140 253144 316430 379716 428280 474645 632860 759432 949290 1265720 1360649 1898580 2626369 2721298 3797160 4081947 5252738 5442596 6803245 7879107 8163894 10505476 10885192 13131845 13606490 15758214 16327788 20409735 21010952 26263690 27212980 31516428 32655576 39395535 40819470 52527380 54425960 63032856 78791070 81638940 105054760 112933867 157582140 163277880 225867734 315164280 338801601 451735468 564669335 677603202 903470936 1129338670 1355206404 1694008005 2258677340 2710412808 3388016010 4517354680 6776032020 13552064040