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13601426432 = 210118571409
BaseRepresentation
bin11001010101011010…
…10100110000000000
31022002220111001102112
430222231110300000
5210323431121212
610125353434452
7661025134316
oct145255246000
938086431375
1013601426432
11584a717aa0
12277710ba28
131389b79929
149305a40b6
15549152422
hex32ab54c00

13601426432 has 88 divisors (see below), whose sum is σ = 29717035920. Its totient is φ = 6170869760.

The previous prime is 13601426429. The next prime is 13601426479. The reversal of 13601426432 is 23462410631.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 9652544 + ... + 9653952.

It is an arithmetic number, because the mean of its divisors is an integer number (337693590).

Almost surely, 213601426432 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 13601426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858517960).

13601426432 is an abundant number, since it is smaller than the sum of its proper divisors (16115609488).

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

13601426432 is a wasteful number, since it uses less digits than its factorization.

13601426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 13601426432 in words is "thirteen billion, six hundred one million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 857 1024 1408 1409 1714 2816 2818 3428 5632 5636 6856 9427 11264 11272 13712 15499 18854 22544 27424 30998 37708 45088 54848 61996 75416 90176 109696 123992 150832 180352 219392 247984 301664 360704 438784 495968 603328 721408 877568 991936 1206656 1207513 1442816 1983872 2413312 2415026 3967744 4826624 4830052 7935488 9653248 9660104 13282643 15870976 19320208 26565286 38640416 53130572 77280832 106261144 154561664 212522288 309123328 425044576 618246656 850089152 1236493312 1700178304 3400356608 6800713216 13601426432