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13057926408 = 2334674
BaseRepresentation
bin11000010100101000…
…00010010100001000
31020201000210101120000
430022110002110020
5203220312121113
65555420403000
7641405354202
oct141224022410
936630711500
1013057926408
1155a094a41a
1226450a6460
1313013a3b97
148bc327772
15516595373
hex30a502508

13057926408 has 100 divisors (see below), whose sum is σ = 37128440415. Its totient is φ = 4287677328.

The previous prime is 13057926397. The next prime is 13057926419. The reversal of 13057926408 is 80462975031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13057926408 is a `hidden beast` number, since 1 + 30 + 579 + 2 + 6 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13057926397) and next prime (13057926419).

It can be written as a sum of positive squares in only one way, i.e., 6528963204 + 6528963204 = 80802^2 + 80802^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80802.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 194894391 + ... + 194894457.

It is a 1-persistent number, because it is pandigital, but 2⋅13057926408 = 26115852816 is not.

Almost surely, 213057926408 is an apocalyptic number.

13057926408 is a gapful number since it is divisible by the number (18) 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 13057926408

13057926408 is an abundant number, since it is smaller than the sum of its proper divisors (24070514007).

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

13057926408 is an frugal number, since it uses more digits than its factorization.

13057926408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13057926408 in words is "thirteen billion, fifty-seven million, nine hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4489 4824 5427 7236 8978 10854 13467 14472 17956 21708 26934 35912 40401 43416 53868 80802 107736 121203 161604 242406 300763 323208 363609 484812 601526 727218 902289 969624 1203052 1454436 1804578 2406104 2706867 2908872 3609156 5413734 7218312 8120601 10827468 16241202 20151121 21654936 24361803 32482404 40302242 48723606 60453363 64964808 80604484 97447212 120906726 161208968 181360089 194894424 241813452 362720178 483626904 544080267 725440356 1088160534 1450880712 1632240801 2176321068 3264481602 4352642136 6528963204 13057926408