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164266724105440 = 25511175195327551
BaseRepresentation
bin100101010110011001010011…
…101111010001110011100000
3210112121202010102212012000221
4211112121103233101303200
5133012321222332333230
61341211031414252424
746412610361603555
oct4526312357216340
9715552112765027
10164266724105440
1148382143373040
121650bba9657114
137087393664308
142c7c7a247ca2c
1513ece4b4c227a
hex956653bd1ce0

164266724105440 has 96 divisors (see below), whose sum is σ = 423384393277440. Its totient is φ = 59729933376000.

The previous prime is 164266724105437. The next prime is 164266724105509. The reversal of 164266724105440 is 44501427662461.

164266724105440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28169665 + ... + 33497215.

It is an arithmetic number, because the mean of its divisors is an integer number (4410254096640).

Almost surely, 2164266724105440 is an apocalyptic number.

164266724105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164266724105440 is an abundant number, since it is smaller than the sum of its proper divisors (259117669172000).

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

164266724105440 is a wasteful number, since it uses less digits than its factorization.

164266724105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345096 (or 5345088 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 164266724105440 in words is "one hundred sixty-four trillion, two hundred sixty-six billion, seven hundred twenty-four million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 17519 35038 70076 87595 140152 175190 192709 280304 350380 385418 560608 700760 770836 963545 1401520 1541672 1927090 2803040 3083344 3854180 5327551 6166688 7708360 10655102 15416720 21310204 26637755 30833440 42620408 53275510 58603061 85240816 106551020 117206122 170481632 213102040 234412244 293015305 426204080 468824488 586030610 852408160 937648976 1172061220 1875297952 2344122440 4688244880 9376489760 93333365969 186666731938 373333463876 466666829845 746666927752 933333659690 1026667025659 1493333855504 1866667319380 2053334051318 2986667711008 3733334638760 4106668102636 5133335128295 7466669277520 8213336205272 10266670256590 14933338555040 16426672410544 20533340513180 32853344821088 41066681026360 82133362052720 164266724105440