Search a number
-
+
553967604060 = 2235131959736241
BaseRepresentation
bin10000000111110110000…
…10101101000101011100
31221221212221210001102220
420003323002231011130
533034011201312220
61102253400145340
755010555641023
oct10037302550534
91857787701386
10553967604060
111a3a332a8172
128b442768250
1340314ba87c0
141cb528738ba
15e62399e540
hex80fb0ad15c

553967604060 has 96 divisors (see below), whose sum is σ = 1670556724032. Its totient is φ = 136350535680.

The previous prime is 553967604007. The next prime is 553967604061. The reversal of 553967604060 is 60406769355.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 553967603994 and 553967604012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553967604061) 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, 15267540 + ... + 15303780.

It is an arithmetic number, because the mean of its divisors is an integer number (17401632542).

Almost surely, 2553967604060 is an apocalyptic number.

It is an amenable number.

553967604060 is an abundant number, since it is smaller than the sum of its proper divisors (1116589119972).

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

553967604060 is a wasteful number, since it uses less digits than its factorization.

553967604060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55863 (or 55861 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 553967604060 in words is "five hundred fifty-three billion, nine hundred sixty-seven million, six hundred four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 19597 36241 39194 58791 72482 78388 97985 108723 117582 144964 181205 195970 217446 235164 254761 293955 362410 391940 434892 471133 509522 543615 587910 724820 764283 942266 1019044 1087230 1175820 1273805 1413399 1528566 1884532 2174460 2355665 2547610 2826798 3057132 3821415 4711330 5095220 5653596 7066995 7642830 9422660 14133990 15285660 28267980 710214877 1420429754 2130644631 2840859508 3551074385 4261289262 7102148770 8522578524 9232793401 10653223155 14204297540 18465586802 21306446310 27698380203 36931173604 42612892620 46163967005 55396760406 92327934010 110793520812 138491901015 184655868020 276983802030 553967604060