Search a number
-
+
505541361544434 = 2321912622311710949
BaseRepresentation
bin111001011110010011000010…
…1010001100010110011110010
32110021222021121200221122102100
41302330212011101202303302
51012230242202023410214
64551110254555001230
7211325105134056465
oct16274460521426362
92407867550848370
10505541361544434
111370989841792a6
1248849377139216
1318911465a61167
148cba4923752dc
153d6a457035309
hex1cbc985462cf2

505541361544434 has 48 divisors (see below), whose sum is σ = 1152998303184000. Its totient is φ = 159643362073248.

The previous prime is 505541361544403. The next prime is 505541361544489. The reversal of 505541361544434 is 434445163145505.

It is a happy number.

505541361544434 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 4 + 1 + 3 + 61 + 544 + 4 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37312792 + ... + 49023740.

It is an arithmetic number, because the mean of its divisors is an integer number (24020797983000).

Almost surely, 2505541361544434 is an apocalyptic number.

505541361544434 is an abundant number, since it is smaller than the sum of its proper divisors (647456941639566).

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

505541361544434 is a wasteful number, since it uses less digits than its factorization.

505541361544434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11837199 (or 11837196 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 505541361544434 in words is "five hundred five trillion, five hundred forty-one billion, three hundred sixty-one million, five hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 126223 252446 378669 757338 1136007 2272014 2398237 4796474 7194711 11710949 14389422 21584133 23421898 35132847 43168266 70265694 105398541 210797082 222508031 445016062 667524093 1335048186 2002572279 4005144558 1478191115627 2956382231254 4434573346881 8869146693762 13303720040643 26607440081286 28085631196913 56171262393826 84256893590739 168513787181478 252770680772217 505541361544434