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26189404754136 = 23313793533010019
BaseRepresentation
bin1011111010001101100100…
…01010101101000011011000
310102201200102122110111002220
411331012302022231003120
511413041400104113021
6131411125122224040
75342056602256341
oct575066212550330
9112650378414086
1026189404754136
118387956255648
122b2b8227b5020
13117c85b852840
14667806cdd0c8
153063a7005cc6
hex17d1b22ad0d8

26189404754136 has 128 divisors (see below), whose sum is σ = 71604763776000. Its totient is φ = 7933733203968.

The previous prime is 26189404754113. The next prime is 26189404754141. The reversal of 26189404754136 is 63145740498162.

It is a super-2 number, since 2×261894047541362 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26189404754136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7195735 + ... + 10205753.

It is an arithmetic number, because the mean of its divisors is an integer number (559412217000).

It is a 1-persistent number, because it is pandigital, but 2⋅26189404754136 = 52378809508272 is not.

Almost surely, 226189404754136 is an apocalyptic number.

26189404754136 is a gapful number since it is divisible by the number (26) 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 26189404754136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802381888000).

26189404754136 is an abundant number, since it is smaller than the sum of its proper divisors (45415359021864).

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

26189404754136 is a wasteful number, since it uses less digits than its factorization.

26189404754136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010473 (or 3010469 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 26189404754136 in words is "twenty-six trillion, one hundred eighty-nine billion, four hundred four million, seven hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 353 474 632 706 948 1027 1059 1412 1896 2054 2118 2824 3081 4108 4236 4589 6162 8216 8472 9178 12324 13767 18356 24648 27534 27887 36712 55068 55774 83661 110136 111548 167322 223096 334644 362531 669288 725062 1087593 1450124 2175186 2900248 3010019 4350372 6020038 8700744 9030057 12040076 18060114 24080152 36120228 39130247 72240456 78260494 117390741 156520988 234781482 237791501 313041976 469562964 475583002 713374503 939125928 951166004 1062536707 1426749006 1902332008 2125073414 2853498012 3091289513 3187610121 4250146828 5706996024 6182579026 6375220242 8500293656 9273868539 12365158052 12750440484 13812977191 18547737078 24730316104 25500880968 27625954382 37095474156 41438931573 55251908764 74190948312 82877863146 83940399853 110503817528 165755726292 167880799706 251821199559 331511452584 335761599412 503642399118 671523198824 1007284798236 1091225198089 2014569596472 2182450396178 3273675594267 4364900792356 6547351188534 8729801584712 13094702377068 26189404754136