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13531220424 = 2334191676581
BaseRepresentation
bin11001001101000011…
…00000100111001000
31021221000101012220000
430212201200213020
5210202443023144
610114405003000
7656213322141
oct144641404710
937830335800
1013531220424
1158140261a7
1227576b3460
131378468407
1492512aac8
15542dd5769
hex3268609c8

13531220424 has 160 divisors (see below), whose sum is σ = 40139668800. Its totient is φ = 4246784640.

The previous prime is 13531220387. The next prime is 13531220501. The reversal of 13531220424 is 42402213531.

13531220424 is a `hidden beast` number, since 13 + 5 + 3 + 1 + 220 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2052814 + ... + 2059394.

It is an arithmetic number, because the mean of its divisors is an integer number (250872930).

Almost surely, 213531220424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069834400).

13531220424 is an abundant number, since it is smaller than the sum of its proper divisors (26608448376).

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

13531220424 is a wasteful number, since it uses less digits than its factorization.

13531220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13531220424 its reverse (42402213531), we get a palindrome (55933433955).

The spelling of 13531220424 in words is "thirteen billion, five hundred thirty-one million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 167 171 216 228 324 334 342 456 501 513 648 668 684 1002 1026 1336 1368 1503 1539 2004 2052 3006 3078 3173 4008 4104 4509 6012 6156 6346 6581 9018 9519 12024 12312 12692 13162 13527 18036 19038 19743 25384 26324 27054 28557 36072 38076 39486 52648 54108 57114 59229 76152 78972 85671 108216 114228 118458 125039 157944 171342 177687 228456 236916 250078 257013 342684 355374 375117 473832 500156 514026 533061 685368 710748 750234 1000312 1028052 1066122 1099027 1125351 1421496 1500468 2056104 2132244 2198054 2250702 3000936 3297081 3376053 4264488 4396108 4501404 6594162 6752106 8792216 9002808 9891243 10128159 13188324 13504212 19782486 20256318 20881513 26376648 27008424 29673729 39564972 40512636 41763026 59347458 62644539 79129944 81025272 83526052 89021187 118694916 125289078 167052104 178042374 187933617 237389832 250578156 356084748 375867234 501156312 563800851 712169496 751734468 1127601702 1503468936 1691402553 2255203404 3382805106 4510406808 6765610212 13531220424