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26130233110680 = 23325635271142569
BaseRepresentation
bin1011111000011111010110…
…10000110011000010011000
310102112000200212120112220200
411330033223100303002120
511411104204134020210
6131324021404422200
75334563351510316
oct574175320630230
9112460625515820
1026130233110680
118364851417076
122b2026a247960
1311770bb8c646a
146649d24770b6
15304a9237c0c0
hex17c3eb433098

26130233110680 has 96 divisors (see below), whose sum is σ = 84924668743200. Its totient is φ = 6967946377728.

The previous prime is 26130233110633. The next prime is 26130233110703. The reversal of 26130233110680 is 8601133203162.

26130233110680 is a `hidden beast` number, since 2 + 6 + 1 + 302 + 331 + 10 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22298436 + ... + 23441004.

It is an arithmetic number, because the mean of its divisors is an integer number (884631966075).

Almost surely, 226130233110680 is an apocalyptic number.

26130233110680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26130233110680 is an abundant number, since it is smaller than the sum of its proper divisors (58794435632520).

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

26130233110680 is a wasteful number, since it uses less digits than its factorization.

26130233110680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206113 (or 1206106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 26130233110680 in words is "twenty-six trillion, one hundred thirty billion, two hundred thirty-three million, one hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 63527 127054 190581 254108 317635 381162 508216 571743 635270 762324 952905 1142569 1143486 1270540 1524648 1905810 2285138 2286972 2541080 2858715 3427707 3811620 4570276 4573944 5712845 5717430 6855414 7623240 9140552 10283121 11425690 11434860 13710828 17138535 20566242 22851380 22869720 27421656 34277070 41132484 45702760 51415605 68554140 82264968 102831210 137108280 205662420 411324840 72583980863 145167961726 217751942589 290335923452 362919904315 435503885178 580671846904 653255827767 725839808630 871007770356 1088759712945 1306511655534 1451679617260 1742015540712 2177519425890 2613023311068 2903359234520 3266279138835 4355038851780 5226046622136 6532558277670 8710077703560 13065116555340 26130233110680