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13582000640 = 29513439491
BaseRepresentation
bin11001010011000110…
…01110001000000000
31022001112221010020202
430221203032020000
5210303443010030
610123421224332
7660401046335
oct145143161000
938045833222
1013582000640
11583a75a11a
1227707020a8
131385b37990
1492bb8898c
155475b6745
hex3298ce200

13582000640 has 160 divisors (see below), whose sum is σ = 35889327936. Its totient is φ = 4897751040.

The previous prime is 13582000633. The next prime is 13582000651. The reversal of 13582000640 is 4600028531.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426295 + ... + 1435785.

Almost surely, 213582000640 is an apocalyptic number.

13582000640 is a gapful number since it is divisible by the number (10) 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 13582000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944663968).

13582000640 is an abundant number, since it is smaller than the sum of its proper divisors (22307327296).

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

13582000640 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (13582000639) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (9554).

13582000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 13582000640 in words is "thirteen billion, five hundred eighty-two million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 256 260 320 344 416 430 512 520 559 640 688 832 860 1040 1118 1280 1376 1664 1720 2080 2236 2560 2752 2795 3328 3440 4160 4472 5504 5590 6656 6880 8320 8944 9491 11008 11180 13760 16640 17888 18982 22016 22360 27520 33280 35776 37964 44720 47455 55040 71552 75928 89440 94910 110080 123383 143104 151856 178880 189820 246766 286208 303712 357760 379640 408113 493532 607424 616915 715520 759280 816226 987064 1214848 1233830 1431040 1518560 1632452 1974128 2040565 2429696 2467660 3037120 3264904 3948256 4081130 4859392 4935320 5305469 6074240 6529808 7896512 8162260 9870640 10610938 12148480 13059616 15793024 16324520 19741280 21221876 24296960 26119232 26527345 31586048 32649040 39482560 42443752 52238464 53054690 63172096 65298080 78965120 84887504 104476928 106109380 130596160 157930240 169775008 208953856 212218760 261192320 315860480 339550016 424437520 522384640 679100032 848875040 1044769280 1358200064 1697750080 2716400128 3395500160 6791000320 13582000640