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1664152254100 = 225272339622909
BaseRepresentation
bin11000001101110111001…
…101000011011010010100
312220002110122001122112101
4120031313031003122110
5204231140434112400
63312300114131444
7231142146523600
oct30156715033224
95802418048471
101664152254100
11591843621506
1222a635280b84
13c0c0c9b27cb
145a78c808500
152d44d63456a
hex18377343694

1664152254100 has 54 divisors (see below), whose sum is σ = 4200795773790. Its totient is φ = 570566485440.

The previous prime is 1664152253993. The next prime is 1664152254101. The reversal of 1664152254100 is 14522514661.

It can be written as a sum of positive squares in 3 ways, for example, as 3729300624 + 1660422953476 = 61068^2 + 1288574^2 .

It is a super-2 number, since 2×16641522541002 (a number of 25 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 1664152254100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664152254101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169806555 + ... + 169816354.

Almost surely, 21664152254100 is an apocalyptic number.

1664152254100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664152254100 is an abundant number, since it is smaller than the sum of its proper divisors (2536643519690).

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

1664152254100 is a wasteful number, since it uses less digits than its factorization.

1664152254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339622937 (or 339622923 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 1664152254100 its reverse (14522514661), we get a palindrome (1678674768761).

The spelling of 1664152254100 in words is "one trillion, six hundred sixty-four billion, one hundred fifty-two million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 339622909 679245818 1358491636 1698114545 2377360363 3396229090 4754720726 6792458180 8490572725 9509441452 11886801815 16641522541 16981145450 23773603630 33283045082 33962290900 47547207260 59434009075 66566090164 83207612705 118868018150 166415225410 237736036300 332830450820 416038063525 832076127050 1664152254100