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26660056320 = 283252314241
BaseRepresentation
bin11000110101000100…
…000010110100000000
32112210222121011222100
4120311010002310000
5414044433300240
620125241310400
71632442511502
oct306504026400
975728534870
1026660056320
11103409a79a7
125200495400
13268b438a71
14140ca31d72
15a607d5e30
hex635102d00

26660056320 has 108 divisors (see below), whose sum is σ = 92241057636. Its totient is φ = 7109345280.

The previous prime is 26660056307. The next prime is 26660056333. The reversal of 26660056320 is 2365006662.

It is an interprime number because it is at equal distance from previous prime (26660056307) and next prime (26660056333).

It can be written as a sum of positive squares in 2 ways, for example, as 2978539776 + 23681516544 = 54576^2 + 153888^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145601 + ... + 1168640.

It is an arithmetic number, because the mean of its divisors is an integer number (854083867).

Almost surely, 226660056320 is an apocalyptic number.

26660056320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26660056320 is an abundant number, since it is smaller than the sum of its proper divisors (65581001316).

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

26660056320 is a wasteful number, since it uses less digits than its factorization.

26660056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314268 (or 2314251 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 26660056320 in words is "twenty-six billion, six hundred sixty million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 2314241 4628482 6942723 9256964 11571205 13885446 18513928 20828169 23142410 27770892 34713615 37027856 41656338 46284820 55541784 69427230 74055712 83312676 92569640 104140845 111083568 138854460 148111424 166625352 185139280 208281690 222167136 277708920 296222848 333250704 370278560 416563380 444334272 555417840 592445696 666501408 740557120 833126760 888668544 1110835680 1333002816 1481114240 1666253520 1777337088 2221671360 2666005632 2962228480 3332507040 4443342720 5332011264 6665014080 8886685440 13330028160 26660056320