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2154241664320 = 26561110360741
BaseRepresentation
bin11111010110010010110…
…011110010010101000000
321121221110210202020102011
4133112102303302111000
5240243341331224240
64325351151102304
7311432055006424
oct37262263622500
97557423666364
102154241664320
11760677293139
122a960b211994
131281b4819775
14763a1700b84
153b08416b6ea
hex1f592cf2540

2154241664320 has 56 divisors (see below), whose sum is σ = 5213882895048. Its totient is φ = 847570483200.

The previous prime is 2154241664299. The next prime is 2154241664339. The reversal of 2154241664320 is 234661424512.

It can be written as a sum of positive squares in 4 ways, for example, as 140499028224 + 2013742636096 = 374832^2 + 1419064^2 .

It is a super-2 number, since 2×21542416643202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55160851 + ... + 55199890.

Almost surely, 22154241664320 is an apocalyptic number.

2154241664320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154241664320 is an abundant number, since it is smaller than the sum of its proper divisors (3059641230728).

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

2154241664320 is a wasteful number, since it uses less digits than its factorization.

2154241664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110360819 (or 110360809 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 2154241664320 in words is "two trillion, one hundred fifty-four billion, two hundred forty-one million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 110360741 220721482 441442964 551803705 882885928 1103607410 1765771856 2207214820 3531543712 4414429640 6732005201 7063087424 8828859280 13464010402 17657718560 26928020804 33660026005 35315437120 53856041608 67320052010 107712083216 134640104020 215424166432 269280208040 430848332864 538560416080 1077120832160 2154241664320