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1868170830048 = 25343931183349
BaseRepresentation
bin11011001011110111101…
…010001010000011100000
320121121002001000010220000
4123023313222022003200
5221102003213030143
63550120440220000
7251654005022505
oct33136752120340
96547061003800
101868170830048
11660317804256
1226209276a600
13107224728573
14665c44b74ac
15338de79cbd3
hex1b2f7a8a0e0

1868170830048 has 120 divisors (see below), whose sum is σ = 5495666160600. Its totient is φ = 622561800960.

The previous prime is 1868170830041. The next prime is 1868170830079. The reversal of 1868170830048 is 8400380718681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1868170829976 and 1868170830003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868170830041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10097478 + ... + 10280826.

It is an arithmetic number, because the mean of its divisors is an integer number (45797218005).

Almost surely, 21868170830048 is an apocalyptic number.

1868170830048 is a gapful number since it is divisible by the number (18) 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 1868170830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747833080300).

1868170830048 is an abundant number, since it is smaller than the sum of its proper divisors (3627495330552).

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

1868170830048 is a wasteful number, since it uses less digits than its factorization.

1868170830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187302 (or 187285 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1868170830048 in words is "one trillion, eight hundred sixty-eight billion, one hundred seventy million, eight hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3931 7862 11793 15724 23586 31448 35379 47172 62896 70758 94344 106137 125792 141516 183349 188688 212274 283032 318411 366698 377376 424548 550047 566064 636822 733396 849096 1100094 1132128 1273644 1466792 1650141 1698192 2200188 2547288 2933584 3300282 3396384 4400376 4950423 5094576 5867168 6600564 8800752 9900846 10189152 13201128 14851269 17601504 19801692 26402256 29702538 39603384 52804512 59405076 79206768 118810152 158413536 237620304 475240608 720744919 1441489838 2162234757 2882979676 4324469514 5765959352 6486704271 8648939028 11531918704 12973408542 17297878056 19460112813 23063837408 25946817084 34595756112 38920225626 51893634168 58380338439 69191512224 77840451252 103787268336 116760676878 155680902504 207574536672 233521353756 311361805008 467042707512 622723610016 934085415024 1868170830048