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745255811524 = 22742323832
BaseRepresentation
bin10101101100001001011…
…01010011100111000100
32122020122011021211020111
422312010231103213010
544202240441432044
61330211002242404
7104562063610000
oct12660455234704
92566564254214
10745255811524
11268074527724
121005287b6404
135537b376a43
14280db923700
15145bc1c6b34
hexad84b539c4

745255811524 has 135 divisors (see below), whose sum is σ = 1594664151983. Its totient is φ = 304710920976.

The previous prime is 745255811513. The next prime is 745255811527. The reversal of 745255811524 is 425118552547.

The square root of 745255811524 is 863282.

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

It is a super-2 number, since 2×7452558115242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (745255811527) by changing a digit.

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, 1945837437 + ... + 1945837819.

Almost surely, 2745255811524 is an apocalyptic number.

745255811524 is the 863282-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745255811524

745255811524 is an abundant number, since it is smaller than the sum of its proper divisors (849408340459).

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

745255811524 is an frugal number, since it uses more digits than its factorization.

745255811524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 415 counting only the distinct ones).

The product of its digits is 2240000, while the sum is 49.

Multiplying 745255811524 by its sum of digits (49), we get a square (36517534764676 = 60429742).

745255811524 divided by its sum of digits (49) gives a square (15209302276 = 1233262).

The spelling of 745255811524 in words is "seven hundred forty-five billion, two hundred fifty-five million, eight hundred eleven thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 383 529 644 686 766 1058 1127 1372 1532 2116 2254 2401 2681 3703 4508 4802 5362 7406 7889 8809 9604 10724 14812 15778 17618 18767 25921 31556 35236 37534 51842 55223 61663 75068 103684 110446 123326 131369 146689 181447 202607 220892 246652 262738 293378 362894 405214 431641 525476 586756 725788 810428 863282 919583 1026823 1270129 1418249 1726564 1839166 2053646 2540258 2836498 3021487 3373847 3678332 4107292 5080516 5672996 6042974 6747694 7187761 9927743 12085948 13495388 14375522 19855486 21150409 23616929 28751044 39710972 42300818 47233858 50314327 69494201 77598481 84601636 94467716 100628654 138988402 155196962 165318503 201257308 277976804 310393924 330637006 352200289 486459407 543189367 661274012 704400578 972918814 1086378734 1157229521 1408801156 1945837628 2172757468 2314459042 3802325569 4628918084 7604651138 8100606647 15209302276 16201213294 26616278983 32402426588 53232557966 106465115932 186313952881 372627905762 745255811524