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13604342430 = 2357412815623
BaseRepresentation
bin11001010101110000…
…11100101010011110
31022010002222012102110
430222320130222132
5210330202424210
610125540134450
7661062000630
oct145270345236
938102865373
1013604342430
115851329908
122778097426
13138a65ac83
14930b22a50
1554952b420
hex32ae1ca9e

13604342430 has 128 divisors (see below), whose sum is σ = 38367737856. Its totient is φ = 3022387200.

The previous prime is 13604342419. The next prime is 13604342431. The reversal of 13604342430 is 3424340631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13604342431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2416599 + ... + 2422221.

It is an arithmetic number, because the mean of its divisors is an integer number (299747952).

Almost surely, 213604342430 is an apocalyptic number.

13604342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13604342430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183868928).

13604342430 is an abundant number, since it is smaller than the sum of its proper divisors (24763395426).

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

13604342430 is a wasteful number, since it uses less digits than its factorization.

13604342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 13604342430 in words is "thirteen billion, six hundred four million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 281 287 410 562 574 615 843 861 1230 1405 1435 1686 1722 1967 2810 2870 3934 4215 4305 5623 5901 8430 8610 9835 11246 11521 11802 16869 19670 23042 28115 29505 33738 34563 39361 56230 57605 59010 69126 78722 80647 84345 115210 118083 161294 168690 172815 196805 230543 236166 241941 345630 393610 403235 461086 483882 590415 691629 806470 1152715 1180830 1209705 1383258 1580063 1613801 2305430 2419410 3160126 3227602 3458145 4740189 4841403 6916290 7900315 8069005 9480378 9682806 11060441 15800630 16138010 22120882 23700945 24207015 33181323 47401890 48414030 55302205 64782583 66362646 110604410 129565166 165906615 194347749 323912915 331813230 388695498 453478081 647825830 906956162 971738745 1360434243 1943477490 2267390405 2720868486 4534780810 6802171215 13604342430