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6542136090 = 2325753195931
BaseRepresentation
bin1100001011111000…
…10001001100011010
3121212221011221120200
412011330101030122
5101344241323330
63001100403030
7321056145030
oct60574211432
917787157520
106542136090
112857957746
121326b46476
138034b4a59
14460c12550
15284525a60
hex185f1131a

6542136090 has 96 divisors (see below), whose sum is σ = 19806374016. Its totient is φ = 1467123840.

The previous prime is 6542136089. The next prime is 6542136103. The reversal of 6542136090 is 906312456.

It is a happy number.

6542136090 is a `hidden beast` number, since 6 + 5 + 42 + 1 + 3 + 609 + 0 = 666.

It is a Curzon number.

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, 64576 + ... + 131355.

It is an arithmetic number, because the mean of its divisors is an integer number (206316396).

Almost surely, 26542136090 is an apocalyptic number.

6542136090 is an abundant number, since it is smaller than the sum of its proper divisors (13264237926).

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

6542136090 is a wasteful number, since it uses less digits than its factorization.

6542136090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196004 (or 196001 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6542136090 is about 80883.4722919337. The cubic root of 6542136090 is about 1870.2795477493.

The spelling of 6542136090 in words is "six billion, five hundred forty-two million, one hundred thirty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 11130 16695 33390 195931 391862 587793 979655 1175586 1371517 1763379 1959310 2743034 2938965 3526758 4114551 5877930 6857585 8229102 8816895 10384343 12343653 13715170 17633790 20572755 20768686 24687306 31153029 41145510 51921715 61718265 62306058 72690401 93459087 103843430 123436530 145380802 155765145 186918174 218071203 311530290 363452005 436142406 467295435 654213609 726904010 934590870 1090356015 1308427218 2180712030 3271068045 6542136090