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13387390576 = 247197386179
BaseRepresentation
bin11000111011111001…
…10101111001110000
31021112222201220102121
430131330311321300
5204404132444301
610052230124024
7652515641140
oct143574657160
937488656377
1013387390576
11574a91875a
1227174b0614
131354719ab1
1490ddaa920
155354743a1
hex31df35e70

13387390576 has 80 divisors (see below), whose sum is σ = 31631507200. Its totient is φ = 5360961024.

The previous prime is 13387390567. The next prime is 13387390651. The reversal of 13387390576 is 67509378331.

It is a super-2 number, since 2×133873905762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 112255 + ... + 198433.

It is an arithmetic number, because the mean of its divisors is an integer number (395393840).

Almost surely, 213387390576 is an apocalyptic number.

13387390576 is a gapful number since it is divisible by the number (16) 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 13387390576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815753600).

13387390576 is an abundant number, since it is smaller than the sum of its proper divisors (18244116624).

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

13387390576 is a wasteful number, since it uses less digits than its factorization.

13387390576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86286 (or 86280 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 13387390576 in words is "thirteen billion, three hundred eighty-seven million, three hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 73 76 112 133 146 152 266 292 304 511 532 584 1022 1064 1168 1387 2044 2128 2774 4088 5548 8176 9709 11096 19418 22192 38836 77672 86179 155344 172358 344716 603253 689432 1206506 1378864 1637401 2413012 3274802 4826024 6291067 6549604 9652048 11461807 12582134 13099208 22923614 25164268 26198416 44037469 45847228 50328536 88074938 91694456 100657072 119530273 176149876 183388912 239060546 352299752 478121092 704599504 836711911 956242184 1673423822 1912484368 3346847644 6693695288 13387390576