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13807601984 = 2611371134691
BaseRepresentation
bin11001101101111111…
…10100100101000000
31022122021102212010002
430312333310211000
5211234221230414
610202040455132
7666110452241
oct146677644500
938567385102
1013807601984
115946038810
12281417a4a8
1313c07b6ab7
1494db12cc8
1555c2cb4de
hex336ff4940

13807601984 has 112 divisors (see below), whose sum is σ = 30976433856. Its totient is φ = 6051225600.

The previous prime is 13807601971. The next prime is 13807601987. The reversal of 13807601984 is 48910670831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807601987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2941079 + ... + 2945769.

Almost surely, 213807601984 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 13807601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488216928).

13807601984 is an abundant number, since it is smaller than the sum of its proper divisors (17168831872).

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

13807601984 is a wasteful number, since it uses less digits than its factorization.

13807601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 13807601984 in words is "thirteen billion, eight hundred seven million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 113 148 176 226 296 352 407 452 592 704 814 904 1184 1243 1628 1808 2368 2486 3256 3616 4181 4691 4972 6512 7232 8362 9382 9944 13024 16724 18764 19888 26048 33448 37528 39776 45991 51601 66896 75056 79552 91982 103202 133792 150112 173567 183964 206404 267584 300224 347134 367928 412808 530083 694268 735856 825616 1060166 1388536 1471712 1651232 1909237 2120332 2777072 2943424 3302464 3818474 4240664 5554144 5830913 7636948 8481328 11108288 11661826 15273896 16962656 19613071 23323652 30547792 33925312 39226142 46647304 61095584 78452284 93294608 122191168 156904568 186589216 215743781 313809136 373178432 431487562 627618272 862975124 1255236544 1725950248 3451900496 6903800992 13807601984