Search a number
-
+
40546166130561 = 37133711743341827
BaseRepresentation
bin10010011100000011000111…
…10101000100011110000001
312022120011202000212011000110
421032001203311010132001
520303302022012134221
6222122352423541533
711353235536414050
oct1116014365043601
9168504660764013
1040546166130561
1111a12594820783
12466a150bba8a9
1319816440bc850
14a02632ba2397
154a4a73838776
hex24e063d44781

40546166130561 has 64 divisors (see below), whose sum is σ = 68341622816768. Its totient is φ = 20807129104128.

The previous prime is 40546166130559. The next prime is 40546166130571. The reversal of 40546166130561 is 16503166164504.

It is not a de Polignac number, because 40546166130561 - 21 = 40546166130559 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40546166130561.

It is not an unprimeable number, because it can be changed into a prime (40546166130541) 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 63 ways as a sum of consecutive naturals, for example, 118445130 + ... + 118786956.

It is an arithmetic number, because the mean of its divisors is an integer number (1067837856512).

Almost surely, 240546166130561 is an apocalyptic number.

It is an amenable number.

40546166130561 is a deficient number, since it is larger than the sum of its proper divisors (27795456686207).

40546166130561 is a wasteful number, since it uses less digits than its factorization.

40546166130561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353630.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 40546166130561 in words is "forty trillion, five hundred forty-six billion, one hundred sixty-six million, one hundred thirty thousand, five hundred sixty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 11743 35229 82201 152659 246603 341827 434491 457977 1025481 1068613 1303473 2392789 3041437 3205839 4443751 5648383 7178367 9124311 12647599 13331253 16945149 31106257 37942797 39538681 88533193 93318771 118616043 164418787 265599579 493256361 1150931509 3452794527 4014074461 12042223383 28098521227 52182967993 84295563681 148520755057 156548903979 365280775951 445562265171 1039645285399 1095842327853 1930769815741 3118935856197 5792309447223 13515388710187 40546166130561