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745891322500 = 22542327512
BaseRepresentation
bin10101101101010101001…
…01100101101010000100
32122022021110010010102001
422312222211211222010
544210041134310000
61330354023355044
7104613611426452
oct12665245455204
92568243103361
10745891322500
1126837022a505
121006855b2a84
135544cc26b3c
142815c0b19d2
1514607dab46a
hexadaa965a84

745891322500 has 135 divisors (see below), whose sum is σ = 1707390072003. Its totient is φ = 285004500000.

The previous prime is 745891322479. The next prime is 745891322543. The reversal of 745891322500 is 5223198547.

The square root of 745891322500 is 863650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 58477879684 + 687413442816 = 241822^2 + 829104^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 993197125 + ... + 993197875.

Almost surely, 2745891322500 is an apocalyptic number.

745891322500 is the 863650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745891322500

745891322500 is an abundant number, since it is smaller than the sum of its proper divisors (961498749503).

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

745891322500 is an frugal number, since it uses more digits than its factorization.

745891322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 745891322500 in words is "seven hundred forty-five billion, eight hundred ninety-one million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 529 575 625 751 1058 1150 1250 1502 2116 2300 2500 2645 2875 3004 3755 5290 5750 7510 10580 11500 13225 14375 15020 17273 18775 26450 28750 34546 37550 52900 57500 66125 69092 75100 86365 93875 132250 172730 187750 264500 330625 345460 375500 397279 431825 469375 564001 661250 794558 863650 938750 1128002 1322500 1589116 1727300 1877500 1986395 2159125 2256004 2820005 3972790 4318250 5640010 7945580 8636500 9931975 10795625 11280020 12972023 14100025 19863950 21591250 25944046 28200050 39727900 43182500 49659875 51888092 56400100 64860115 70500125 99319750 129720230 141000250 198639500 248299375 259440460 282000500 298356529 324300575 352500625 496598750 596713058 648601150 705001250 993197500 1193426116 1297202300 1410002500 1491782645 1621502875 2983565290 3243005750 5967130580 6486011500 7458913225 8107514375 14917826450 16215028750 29835652900 32430057500 37294566125 74589132250 149178264500 186472830625 372945661250 745891322500