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45438279793914 = 23719312836490391
BaseRepresentation
bin10100101010011011011001…
…00001101011110011111010
312221212212010211210112002110
422111031230201223303322
521423430044111401124
6240350020233513150
712366543634430460
oct1225155441536372
9187785124715073
1045438279793914
11135292a2408747
12511a2abb727b6
131c47a71849b97
14b3131dd6a830
1553be497c8029
hex29536c86bcfa

45438279793914 has 128 divisors (see below), whose sum is σ = 113250590392320. Its totient is φ = 11860279070400.

The previous prime is 45438279793897. The next prime is 45438279793919. The reversal of 45438279793914 is 41939797283454.

It is a super-2 number, since 2×454382797939142 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45438279793919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3755659 + ... + 10246049.

It is an arithmetic number, because the mean of its divisors is an integer number (884770237440).

Almost surely, 245438279793914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45438279793914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56625295196160).

45438279793914 is an abundant number, since it is smaller than the sum of its proper divisors (67812310598406).

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

45438279793914 is a wasteful number, since it uses less digits than its factorization.

45438279793914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490736.

The product of its digits is 1646023680, while the sum is 75.

The spelling of 45438279793914 in words is "forty-five trillion, four hundred thirty-eight billion, two hundred seventy-nine million, seven hundred ninety-three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 283 399 434 566 589 651 798 849 1178 1302 1698 1767 1981 3534 3962 4123 5377 5943 8246 8773 10754 11886 12369 16131 17546 24738 26319 32262 37639 52638 61411 75278 112917 122822 166687 184233 225834 333374 368466 500061 1000122 1166809 2333618 3500427 6490391 7000854 12980782 19471173 38942346 45432737 90865474 123317429 136298211 201202121 246634858 272596422 369952287 402404242 603606363 739904574 863222003 1207212726 1408414847 1726444006 1836780653 2589666009 2816829694 3673561306 3822840299 4225244541 5179332018 5510341959 7645680598 8450489082 11020683918 11468520897 12857464571 22937041794 25714929142 26759882093 34898832407 38572393713 53519764186 56940200243 69797664814 77144787426 80279646279 104696497221 113880400486 160559292558 170820600729 209392994442 244291826849 341641201458 398581401701 488583653698 732875480547 797162803402 1081863804617 1195744205103 1465750961094 2163727609234 2391488410206 3245591413851 6491182827702 7573046632319 15146093264638 22719139896957 45438279793914