Search a number
-
+
46545133154564 = 221117477871682287
BaseRepresentation
bin10101001010101001000100…
…01000001011000100000100
320002210200010100200002020102
422211110202020023010010
522100043413041421224
6242554312230423232
712542526534652352
oct1245244210130404
9202720110602212
1046545133154564
1113915753266a60
125278912b01b18
131cc8258437a35
14b6cb216dc7d2
1555ab2bc794ae
hex2a552220b104

46545133154564 has 96 divisors (see below), whose sum is σ = 96209862303744. Its totient is φ = 19463914437120.

The previous prime is 46545133154563. The next prime is 46545133154591.

46545133154564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46545133154563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26826629 + ... + 28508915.

It is an arithmetic number, because the mean of its divisors is an integer number (1002186065664).

Almost surely, 246545133154564 is an apocalyptic number.

46545133154564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46545133154564 is an abundant number, since it is smaller than the sum of its proper divisors (49664729149180).

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

46545133154564 is a wasteful number, since it uses less digits than its factorization.

46545133154564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683153 (or 1683151 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 56.

The spelling of 46545133154564 in words is "forty-six trillion, five hundred forty-five billion, one hundred thirty-three million, one hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 47 68 94 187 188 374 517 748 787 799 1034 1574 1598 2068 3148 3196 8657 8789 13379 17314 17578 26758 34628 35156 36989 53516 73978 147169 147956 294338 406879 588676 628813 813758 1257626 1627516 1682287 2515252 3364574 6729148 6916943 13833886 18505157 27667772 28598879 37010314 57197758 74020628 79067489 114395516 158134978 314587669 316269956 629175338 869742379 1258350676 1323959869 1344147313 1739484758 2647919738 2688294626 3478969516 5295839476 5376589252 14563558559 14785620443 22507317773 29127117118 29571240886 45014635546 58254234236 59142481772 62226113843 90029271092 124452227686 247580495503 248904455372 495160991006 684487252273 990321982012 1057843935331 1368974504546 2115687870662 2737949009092 4231375741324 11636283288641 23272566577282 46545133154564