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1684396225400 = 235271609174771
BaseRepresentation
bin11000100000101101110…
…101101011001101111000
312222000201110122221111012
4120200231311223031320
5210044120413203100
63325445000453052
7232456623453230
oct30405565531570
95860643587435
101684396225400
1159a3918367a9
12232544a7a188
13c2ab7a9ba55
145b74d27acc0
152dc359e3135
hex1882dd6b378

1684396225400 has 96 divisors (see below), whose sum is σ = 4476019409280. Its totient is φ = 577463664000.

The previous prime is 1684396225387. The next prime is 1684396225409. The reversal of 1684396225400 is 45226934861.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684396225409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22490015 + ... + 22564785.

It is an arithmetic number, because the mean of its divisors is an integer number (46625202180).

Almost surely, 21684396225400 is an apocalyptic number.

1684396225400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1684396225400 is an abundant number, since it is smaller than the sum of its proper divisors (2791623183880).

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

1684396225400 is a wasteful number, since it uses less digits than its factorization.

1684396225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90885 (or 90876 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 1684396225400 in words is "one trillion, six hundred eighty-four billion, three hundred ninety-six million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 16091 32182 64364 74771 80455 112637 128728 149542 160910 225274 299084 321820 373855 402275 450548 523397 563185 598168 643640 747710 804550 901096 1046794 1126370 1495420 1609100 1869275 2093588 2252740 2616985 2815925 2990840 3218200 3738550 4187176 4505480 5233970 5631850 7477100 10467940 11263700 13084925 14954200 20935880 22527400 26169850 52339700 104679400 1203140161 2406280322 4812560644 6015700805 8421981127 9625121288 12031401610 16843962254 24062803220 30078504025 33687924508 42109905635 48125606440 60157008050 67375849016 84219811270 120314016100 168439622540 210549528175 240628032200 336879245080 421099056350 842198112700 1684396225400