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1869722120656 = 241337281864581
BaseRepresentation
bin11011001101010100000…
…111110111000111010000
320121202002011000212112201
4123031110013313013100
5221113142330330111
63550534413532544
7252040312541605
oct33152407670720
96552064025481
101869722120656
11660a43436905
122624461a4154
13107410c384c0
14666d052c6ac
1533980a796c1
hex1b3541f71d0

1869722120656 has 80 divisors (see below), whose sum is σ = 4020949549008. Its totient is φ = 836636774400.

The previous prime is 1869722120647. The next prime is 1869722120663. The reversal of 1869722120656 is 6560212279681.

It can be written as a sum of positive squares in 8 ways, for example, as 171694209600 + 1698027911056 = 414360^2 + 1303084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1869722120597 and 1869722120606.

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, 1730286 + ... + 2594866.

Almost surely, 21869722120656 is an apocalyptic number.

1869722120656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1869722120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010474774504).

1869722120656 is an abundant number, since it is smaller than the sum of its proper divisors (2151227428352).

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

1869722120656 is a wasteful number, since it uses less digits than its factorization.

1869722120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864920 (or 864914 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 1869722120656 in words is "one trillion, eight hundred sixty-nine billion, seven hundred twenty-two million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 281 296 481 562 592 962 1124 1924 2248 3653 3848 4496 7306 7696 10397 14612 20794 29224 41588 58448 83176 135161 166352 270322 540644 864581 1081288 1729162 2162576 3458324 6916648 11239553 13833296 22479106 31989497 44958212 63978994 89916424 127957988 179832848 242947261 255915976 415863461 485894522 511831952 831726922 971789044 1663453844 1943578088 3158314393 3326907688 3887156176 6316628786 6653815376 8989048657 12633257572 17978097314 25266515144 35956194628 50533030288 71912389256 116857632541 143824778512 233715265082 467430530164 934861060328 1869722120656