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30025940688436 = 22721161824327697
BaseRepresentation
bin1101101001110111101011…
…00001110101111000110100
310221022110012102200021020111
412310323311201311320310
512413421111304012221
6143505420550112404
76216205541532400
oct664736541657064
9127273172607214
1030025940688436
119626a25820240
12344b28a94b704
13139a584817134
1475b398642100
1537109c363be1
hex1b4ef5875e34

30025940688436 has 144 divisors (see below), whose sum is σ = 67784785371072. Its totient is φ = 11504829772800.

The previous prime is 30025940688413. The next prime is 30025940688437. The reversal of 30025940688436 is 63488604952003.

It is a super-2 number, since 2×300259406884362 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30025940688437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084072540 + ... + 1084100236.

It is an arithmetic number, because the mean of its divisors is an integer number (470727676188).

Almost surely, 230025940688436 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 30025940688436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892392685536).

30025940688436 is an abundant number, since it is smaller than the sum of its proper divisors (37758844682636).

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

30025940688436 is a wasteful number, since it uses less digits than its factorization.

30025940688436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36030 (or 36021 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 30025940688436 in words is "thirty trillion, twenty-five billion, nine hundred forty million, six hundred eighty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 61 77 98 122 154 196 244 308 427 539 671 854 1078 1342 1708 2156 2684 2989 4697 5978 8243 9394 11956 16486 18788 27697 32879 32972 55394 57701 65758 90673 110788 115402 131516 181346 193879 230804 304667 362692 387758 403907 502823 609334 634711 775516 807814 1005646 1218668 1269422 1357153 1615628 1689517 2011292 2132669 2538844 2714306 3379034 3519761 4265338 4442977 5428612 5531053 6758068 7039522 8530676 8885954 11062106 11826619 14079044 14928683 17771908 18584687 22124212 23653238 24638327 29857366 37169374 38717371 47306476 49276654 59714732 74338748 77434742 82786333 98553308 130092809 154869484 165572666 228306371 260185618 271021597 331145332 456612742 520371236 542043194 910649663 913225484 1084086388 1598144597 1821299326 2511370081 3196289194 3642598652 5022740162 6392578388 10045480324 11187012179 13926688631 17579590567 22374024358 27853377262 35159181134 44748048716 55706754524 70318362268 97486820417 123057133969 153193574941 194973640834 246114267938 306387149882 389947281668 492228535876 612774299764 682407742919 1072355024587 1364815485838 2144710049174 2729630971676 4289420098348 7506485172109 15012970344218 30025940688436