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205013441332 = 227172318726109
BaseRepresentation
bin1011111011101111000…
…0001101101100110100
3201121011201221220002201
42332323300031230310
511324331420110312
6234103141314244
720545265333020
oct2767360155464
9647151856081
10205013441332
1179a44819947
1233896705984
1316442ba5acb
149ccbc81380
1554ed683557
hex2fbbc0db34

205013441332 has 48 divisors (see below), whose sum is σ = 453022053120. Its totient is φ = 79099080192.

The previous prime is 205013441291. The next prime is 205013441341. The reversal of 205013441332 is 233144310502.

It is a happy number.

It is a super-2 number, since 2×2050134413322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 205013441332.

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, 9352107 + ... + 9374002.

It is an arithmetic number, because the mean of its divisors is an integer number (9437959440).

Almost surely, 2205013441332 is an apocalyptic number.

It is an amenable number.

205013441332 is an abundant number, since it is smaller than the sum of its proper divisors (248008611788).

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

205013441332 is a wasteful number, since it uses less digits than its factorization.

205013441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18726160 (or 18726158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 205013441332 its reverse (233144310502), we get a palindrome (438157751834).

The spelling of 205013441332 in words is "two hundred five billion, thirteen million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 5474 10948 18726109 37452218 74904436 131082763 262165526 318343853 430700507 524331052 636687706 861401014 1273375412 1722802028 2228406971 3014903549 4456813942 6029807098 7321908619 8913627884 12059614196 14643817238 29287634476 51253360333 102506720666 205013441332