Search a number
-
+
45326262000 = 2435313157667
BaseRepresentation
bin101010001101101001…
…111101111011110000
311022222212100200101110
4222031221331323300
51220312010341000
632453403033320
73163140604305
oct521551757360
9138885320343
1045326262000
111824a547568
12894b80b840
1343746a5696
14229db1b0ac
1512a43d8850
hexa8da7def0

45326262000 has 160 divisors (see below), whose sum is σ = 147249932544. Its totient is φ = 11994528000.

The previous prime is 45326261987. The next prime is 45326262013. The reversal of 45326262000 is 26262354.

It is an interprime number because it is at equal distance from previous prime (45326261987) and next prime (45326262013).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757167 + ... + 814833.

Almost surely, 245326262000 is an apocalyptic number.

45326262000 is a gapful number since it is divisible by the number (40) 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 45326262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73624966272).

45326262000 is an abundant number, since it is smaller than the sum of its proper divisors (101923670544).

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

45326262000 is a wasteful number, since it uses less digits than its factorization.

45326262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57824 (or 57808 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 45326262000 in words is "forty-five billion, three hundred twenty-six million, two hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 3000 3144 3275 3930 5240 6000 6288 6550 7860 9825 10480 13100 15720 16375 19650 26200 31440 32750 39300 49125 52400 57667 65500 78600 98250 115334 131000 157200 173001 196500 230668 262000 288335 346002 393000 461336 576670 692004 786000 865005 922672 1153340 1384008 1441675 1730010 2306680 2768016 2883350 3460020 4325025 4613360 5766700 6920040 7208375 7554377 8650050 11533400 13840080 14416750 15108754 17300100 21625125 22663131 23066800 28833500 30217508 34600200 37771885 43250250 45326262 57667000 60435016 69200400 75543770 86500500 90652524 113315655 115334000 120870032 151087540 173001000 181305048 188859425 226631310 302175080 346002000 362610096 377718850 453262620 566578275 604350160 755437700 906525240 944297125 1133156550 1510875400 1813050480 1888594250 2266313100 2832891375 3021750800 3777188500 4532626200 5665782750 7554377000 9065252400 11331565500 15108754000 22663131000 45326262000