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28969837086498 = 23711314094945601
BaseRepresentation
bin1101001011001000100001…
…10110010100011100100010
310210120111012202102120022120
412211210100312110130202
512244120211243231443
6141340320500445110
76050000366165640
oct645442066243442
9123514182376276
1028969837086498
11925a04787a880
1232ba66b9a9796
131321ac810a9c9
1472220d00c190
1535388a4a8083
hex1a5910d94722

28969837086498 has 128 divisors (see below), whose sum is σ = 74749015572480. Its totient is φ = 7264097280000.

The previous prime is 28969837086497. The next prime is 28969837086511. The reversal of 28969837086498 is 89468073896982.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28969837086497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3384898 + ... + 8330498.

It is an arithmetic number, because the mean of its divisors is an integer number (583976684160).

Almost surely, 228969837086498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28969837086498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37374507786240).

28969837086498 is an abundant number, since it is smaller than the sum of its proper divisors (45779178485982).

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

28969837086498 is a wasteful number, since it uses less digits than its factorization.

28969837086498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946064.

The product of its (nonzero) digits is 18059231232, while the sum is 87.

The spelling of 28969837086498 in words is "twenty-eight trillion, nine hundred sixty-nine billion, eight hundred thirty-seven million, eighty-six thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 409 434 462 651 682 818 1023 1227 1302 2046 2387 2454 2863 4499 4774 5726 7161 8589 8998 12679 13497 14322 17178 25358 26994 31493 38037 62986 76074 88753 94479 139469 177506 188958 266259 278938 418407 532518 836814 976283 1952566 2928849 4945601 5857698 9891202 14836803 29673606 34619207 54401611 69238414 103857621 108803222 153313631 163204833 207715242 306627262 326409666 380811277 459940893 761622554 919881786 1073195417 1142433831 1686449941 2022750809 2146390834 2284867662 3219586251 3372899882 4045501618 5059349823 6068252427 6439172502 10118699646 11805149587 12136504854 14159255663 22250258899 23610299174 28318511326 35415448761 42477766989 44500517798 62705275079 66750776697 70830897522 84955533978 125410550158 133501553394 155751812293 188115825237 311503624586 376231650474 438936925553 467255436879 689758025869 877873851106 934510873758 1316810776659 1379516051738 2069274077607 2633621553318 4138548155214 4828306181083 9656612362166 14484918543249 28969837086498