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40723116782562 = 232234711743178223
BaseRepresentation
bin10010100001001100101101…
…11010001111001111100010
312100012002111000201122012100
421100212112322033033202
520314201420344020222
6222335535214311230
711402101540220544
oct1120462672171742
9170162430648170
1040723116782562
1111a80638857645
1246984b54b8516
131995234062166
14a0b01b9cb694
154a947d4a14ac
hex250996e8f3e2

40723116782562 has 96 divisors (see below), whose sum is σ = 94037119008768. Its totient is φ = 12706769500128.

The previous prime is 40723116782561. The next prime is 40723116782599. The reversal of 40723116782562 is 26528761132704.

40723116782562 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 3 + 1 + 1 + 6 + 78 + 2 + 562 = 666.

40723116782562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40723116782499 and 40723116782508.

It is not an unprimeable number, because it can be changed into a prime (40723116782561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228406183 + ... + 228584405.

It is an arithmetic number, because the mean of its divisors is an integer number (979553323008).

Almost surely, 240723116782562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40723116782562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018559504384).

40723116782562 is an abundant number, since it is smaller than the sum of its proper divisors (53314002226206).

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

40723116782562 is a wasteful number, since it uses less digits than its factorization.

40723116782562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190044 (or 190041 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40723116782562 in words is "forty trillion, seven hundred twenty-three billion, one hundred sixteen million, seven hundred eighty-two thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 2162 3243 6486 9729 11743 19458 23486 35229 70458 105687 178223 211374 270089 356446 534669 540178 551921 810267 1069338 1103842 1604007 1620534 1655763 2430801 3208014 3311526 4099129 4861602 4967289 8198258 8376481 9934578 12297387 12694183 16752962 24594774 25129443 25388366 36892161 38082549 50258886 73784322 75388329 76165098 114247647 150776658 192659063 228495294 385318126 577977189 1155954378 1733931567 2092872689 3467863134 4185745378 6278618067 12557236134 18835854201 37671708402 48136071847 96272143694 98365016383 144408215541 196730032766 288816431082 295095049149 433224646623 590190098298 866449293246 885285147447 1770570294894 2262395376809 4524790753618 6787186130427 13574372260854 20361558391281 40723116782562