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13901597952 = 283111796797
BaseRepresentation
bin11001111001001100…
…11000110100000000
31022212211022100100020
430330212120310000
5211432302113302
610215235253440
71001331430044
oct147446306400
938784270306
1013901597952
1159940a9330
12283b74a280
131407107808
1495c3c0024
15565696ebc
hex33c998d00

13901597952 has 144 divisors (see below), whose sum is σ = 42736704192. Its totient is φ = 3964764160.

The previous prime is 13901597947. The next prime is 13901597987. The reversal of 13901597952 is 25979510931.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 13901597895 and 13901597904.

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, 95218 + ... + 192014.

It is an arithmetic number, because the mean of its divisors is an integer number (296782668).

Almost surely, 213901597952 is an apocalyptic number.

13901597952 is a gapful number since it is divisible by the number (12) 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 13901597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368352096).

13901597952 is an abundant number, since it is smaller than the sum of its proper divisors (28835106240).

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

13901597952 is a wasteful number, since it uses less digits than its factorization.

13901597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96844 (or 96830 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 51.

The spelling of 13901597952 in words is "thirteen billion, nine hundred one million, five hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5984 6528 8448 8976 11968 13056 17952 23936 35904 47872 71808 96797 143616 193594 290391 387188 580782 774376 1064767 1161564 1548752 1645549 2129534 2323128 3097504 3194301 3291098 4259068 4646256 4936647 6195008 6388602 6582196 8518136 9292512 9873294 12390016 12777204 13164392 17036272 18101039 18585024 19746588 24780032 25554408 26328784 34072544 36202078 37170048 39493176 51108816 52657568 54303117 68145088 72404156 74340096 78986352 102217632 105315136 108606234 136290176 144808312 157972704 204435264 210630272 217212468 272580352 289616624 315945408 408870528 421260544 434424936 579233248 631890816 817741056 868849872 1158466496 1263781632 1737699744 2316932992 3475399488 4633865984 6950798976 13901597952