Search a number
-
+
546054242460100 = 225211677409148473
BaseRepresentation
bin111110000101000100010100…
…1001001100110000111000100
32122121102021110000210200102221
41330022020221021212013010
51033033023042032210400
65213205504513142124
7223006055113031653
oct17412105111460704
92577367400720387
10546054242460100
11148a9833829a410
12512b0b78b5a944
131a58c903c8217a
1498bb24868119a
15431e1cd612c1a
hex1f0a2292661c4

546054242460100 has 72 divisors (see below), whose sum is σ = 1311952738588128. Its totient is φ = 195601519660800.

The previous prime is 546054242460061. The next prime is 546054242460101. The reversal of 546054242460100 is 1064242450645.

It is not an unprimeable number, because it can be changed into a prime (546054242460101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3704500537 + ... + 3704647936.

It is an arithmetic number, because the mean of its divisors is an integer number (18221565813724).

Almost surely, 2546054242460100 is an apocalyptic number.

546054242460100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

546054242460100 is an abundant number, since it is smaller than the sum of its proper divisors (765898496128028).

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

546054242460100 is a wasteful number, since it uses less digits than its factorization.

546054242460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409148565 (or 7409148558 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

The spelling of 546054242460100 in words is "five hundred forty-six trillion, fifty-four billion, two hundred forty-two million, four hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 7409148473 14818296946 29636593892 37045742365 74091484730 81500633203 148182969460 163001266406 185228711825 326002532812 370457423650 407503166015 496412947691 740914847300 815006332030 992825895382 1630012664060 1985651790764 2037515830075 2482064738455 4075031660150 4964129476910 5460542424601 8150063320300 9928258953820 10921084849202 12410323692275 21842169698404 24820647384550 27302712123005 49641294769100 54605424246010 109210848492020 136513560615025 273027121230050 546054242460100