Search a number
-
+
644083028742000 = 24353107347171457
BaseRepresentation
bin1001001001110010100100010…
…0001000100100111101110000
310010110111201212200201222220110
42102130221010020210331300
51133410124020324221000
610201503354132541320
7252444314611103241
oct22234510410447560
93113451780658813
10644083028742000
11177252095573421
12602a3733181840
13218509cc640643
14b509adbb8acc8
154e6e1271d3850
hex249ca44224f70

644083028742000 has 80 divisors (see below), whose sum is σ = 2076523684683552. Its totient is φ = 171755474329600.

The previous prime is 644083028741927. The next prime is 644083028742073. The reversal of 644083028742000 is 247820380446.

It is an interprime number because it is at equal distance from previous prime (644083028741927) and next prime (644083028742073).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53673579729 + ... + 53673591728.

Almost surely, 2644083028742000 is an apocalyptic number.

644083028742000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

644083028742000 is an abundant number, since it is smaller than the sum of its proper divisors (1432440655941552).

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

644083028742000 is a wasteful number, since it uses less digits than its factorization.

644083028742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107347171483 (or 107347171467 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 644083028742000 in words is "six hundred forty-four trillion, eighty-three billion, twenty-eight million, seven hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 107347171457 214694342914 322041514371 429388685828 536735857285 644083028742 858777371656 1073471714570 1288166057484 1610207571855 1717554743312 2146943429140 2576332114968 2683679286425 3220415143710 4293886858280 5152664229936 5367358572850 6440830287420 8051037859275 8587773716560 10734717145700 12881660574840 13418396432125 16102075718550 21469434291400 25763321149680 26836792864250 32204151437100 40255189296375 42938868582800 53673585728500 64408302874200 80510378592750 107347171457000 128816605748400 161020757185500 214694342914000 322041514371000 644083028742000