Search a number
-
+
506541744206140 = 225223765111484419
BaseRepresentation
bin111001100101100100111000…
…0101110100011000100111100
32110102111220210002102022002011
41303023021300232203010330
51012343134443004044030
64553154021555141004
7211460301426305356
oct16313116056430474
92412456702368064
10506541744206140
111374441690a7635
124898b2252a4764
13189848b23aa536
148d12a7354c0d6
153d864a7187b2a
hex1ccb270ba313c

506541744206140 has 48 divisors (see below), whose sum is σ = 1068522472120320. Its totient is φ = 201705330415680.

The previous prime is 506541744206129. The next prime is 506541744206171. The reversal of 506541744206140 is 41602447145605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340496851 + ... + 341981269.

It is an arithmetic number, because the mean of its divisors is an integer number (22260884835840).

Almost surely, 2506541744206140 is an apocalyptic number.

It is an amenable number.

506541744206140 is an abundant number, since it is smaller than the sum of its proper divisors (561980727914180).

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

506541744206140 is a wasteful number, since it uses less digits than its factorization.

506541744206140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561162 (or 1561160 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 506541744206140 in words is "five hundred six trillion, five hundred forty-one billion, seven hundred forty-four million, two hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 223 446 892 1115 2230 4460 76511 153022 306044 382555 765110 1484419 1530220 2968838 5937676 7422095 14844190 17061953 29688380 34123906 68247812 85309765 170619530 331025437 341239060 662050874 1324101748 1655127185 3310254370 6620508740 113574382109 227148764218 454297528436 567871910545 1135743821090 2271487642180 25327087210307 50654174420614 101308348841228 126635436051535 253270872103070 506541744206140