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205462419916 = 2213223431911609
BaseRepresentation
bin1011111101011010000…
…0111011100111001100
3201122100000210100221011
42333112200323213030
511331241334414131
6234215500415004
720562356516335
oct2772640734714
9648300710834
10205462419916
117a1551a8126
12339a0b47464
13164b4c05900
149d3175528c
155527cbe0b1
hex2fd683b9cc

205462419916 has 144 divisors (see below), whose sum is σ = 418157752320. Its totient is φ = 88077749760.

The previous prime is 205462419791. The next prime is 205462419931. The reversal of 205462419916 is 619914264502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 205462419916.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127694920 + ... + 127696528.

It is an arithmetic number, because the mean of its divisors is an integer number (2903873280).

Almost surely, 2205462419916 is an apocalyptic number.

205462419916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

205462419916 is an abundant number, since it is smaller than the sum of its proper divisors (212695332404).

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

205462419916 is a wasteful number, since it uses less digits than its factorization.

205462419916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 205462419916 in words is "two hundred five billion, four hundred sixty-two million, four hundred nineteen thousand, nine hundred sixteen".

Divisors: 1 2 4 13 23 26 43 46 52 86 92 169 172 191 299 338 382 559 598 676 764 989 1118 1196 1609 1978 2236 2483 3218 3887 3956 4393 4966 6436 7267 7774 8213 8786 9932 12857 14534 15548 16426 17572 20917 25714 29068 32279 32852 37007 41834 51428 57109 64558 69187 74014 83668 106769 114218 129116 138374 148028 167141 188899 213538 228436 271921 276748 307319 334282 377798 427076 481091 543842 614638 668564 742417 755596 899431 962182 1087684 1229276 1387997 1484834 1591301 1798862 1924364 2455687 2775994 2969668 3182602 3597724 3995147 4911374 5551988 6254183 6365204 7068337 7990294 9822748 11692603 12508366 13214717 14136674 15980588 20686913 23385206 25016732 26429434 28273348 31923931 41373826 46770412 51936911 52858868 63847862 82747652 91888381 103873822 127695724 171791321 183776762 207747644 268929869 303938491 343582642 367553524 537859738 607876982 687165284 1075719476 1194548953 1215753964 2233287173 2389097906 3951200383 4466574346 4778195812 7902400766 8933148692 15804801532 51365604979 102731209958 205462419916