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745142164516652 = 2272334572083119983
BaseRepresentation
bin1010100101101100111110111…
…0000001011110111100101100
310121201022220011121212120010012
42221123033232001132330230
51240131402123104013102
611200441330143032352
7312644513321633030
oct25133175601367454
93551286147776105
10745142164516652
111a6475021065221
126b6a566329b6b8
1325ca17b2430146
14d201104bb21c0
155b22cceb5a752
hex2a5b3ee05ef2c

745142164516652 has 96 divisors (see below), whose sum is σ = 1500688012142592. Its totient is φ = 317125303428096.

The previous prime is 745142164516643. The next prime is 745142164516709. The reversal of 745142164516652 is 256615461241547.

It is a happy number.

It is a super-4 number, since 4×7451421645166524 (a number of 61 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 745142164516591 and 745142164516600.

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, 6210337853 + ... + 6210457835.

It is an arithmetic number, because the mean of its divisors is an integer number (15632166793152).

Almost surely, 2745142164516652 is an apocalyptic number.

It is an amenable number.

745142164516652 is an abundant number, since it is smaller than the sum of its proper divisors (755545847625940).

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

745142164516652 is a wasteful number, since it uses less digits than its factorization.

745142164516652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122767 (or 122765 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 59.

The spelling of 745142164516652 in words is "seven hundred forty-five trillion, one hundred forty-two billion, one hundred sixty-four million, five hundred sixteen thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 233 457 466 914 932 1631 1828 2083 3199 3262 4166 6398 6524 8332 12796 14581 29162 58324 106481 119983 212962 239966 425924 479932 485339 745367 839881 951931 970678 1490734 1679762 1903862 1941356 2981468 3359524 3397373 3807724 6663517 6794746 13327034 13589492 26654068 27956039 54832231 55912078 109664462 111824156 195692273 219328924 221799923 249924589 383825617 391384546 443599846 499849178 767651234 782769092 887199692 999698356 1535302468 1552599461 1749472123 3105198922 3498944246 6210397844 6997888492 12775909823 25551819646 51103639292 58232429237 89431368761 114215537173 116464858474 178862737522 228431074346 232929716948 357725475044 407627004659 456862148692 799508760211 815254009318 1599017520422 1630508018636 3198035040844 26612220161309 53224440322618 106448880645236 186285541129163 372571082258326 745142164516652