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13048002432 = 273213186461
BaseRepresentation
bin11000010011011100…
…01011011110000000
31020200100010012102100
430021232023132000
5203210242034212
65554423550400
7641225122263
oct141156133600
936610105370
1013048002432
115596291393
1226418bb400
1312cc30aaca
148baca2cda
15515784bdc
hex309b8b780

13048002432 has 96 divisors (see below), whose sum is σ = 37834041960. Its totient is φ = 4316083200.

The previous prime is 13048002371. The next prime is 13048002437. The reversal of 13048002432 is 23420084031.

13048002432 is a `hidden beast` number, since 130 + 480 + 0 + 24 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13048002396 and 13048002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13048002437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107682 + ... + 194142.

Almost surely, 213048002432 is an apocalyptic number.

13048002432 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 13048002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917020980).

13048002432 is an abundant number, since it is smaller than the sum of its proper divisors (24786039528).

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

13048002432 is a wasteful number, since it uses less digits than its factorization.

13048002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86612 (or 86597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13048002432 its reverse (23420084031), we get a palindrome (36468086463).

The spelling of 13048002432 in words is "thirteen billion, forty-eight million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 1048 1152 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 16768 18864 25152 37728 50304 75456 86461 150912 172922 259383 345844 518766 691688 778149 1037532 1383376 1556298 2075064 2766752 3112596 4150128 5533504 6225192 8300256 11067008 11326391 12450384 16600512 22652782 24900768 33201024 33979173 45305564 49801536 67958346 90611128 99603072 101937519 135916692 181222256 203875038 271833384 362444512 407750076 543666768 724889024 815500152 1087333536 1449778048 1631000304 2174667072 3262000608 4349334144 6524001216 13048002432