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61669599190992 = 2434133660351329
BaseRepresentation
bin11100000010110100100101…
…00011011001111111010000
322002100120000101211020020000
432001122102203121333100
531040343314343102432
6335054342303250000
715663324105050652
oct1601322243317720
9262316011736200
1061669599190992
1118716a26024951
126abbb93ba9900
132854558b86280
141132b787046d2
1571e27b4c457c
hex3816928d9fd0

61669599190992 has 100 divisors (see below), whose sum is σ = 192219689743620. Its totient is φ = 18975261284352.

The previous prime is 61669599190939. The next prime is 61669599190993. The reversal of 61669599190992 is 29909199596616.

61669599190992 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 9 + 599 + 19 + 0 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28267256356416 + 33402342834576 = 5316696^2 + 5779476^2 .

It is a super-2 number, since 2×616695991909922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61669599190993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1830158817 + ... + 1830192512.

Almost surely, 261669599190992 is an apocalyptic number.

It is an amenable number.

61669599190992 is an abundant number, since it is smaller than the sum of its proper divisors (130550090552628).

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

61669599190992 is a wasteful number, since it uses less digits than its factorization.

61669599190992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660351362 (or 3660351347 counting only the distinct ones).

The product of its (nonzero) digits is 1147912560, while the sum is 81.

The spelling of 61669599190992 in words is "sixty-one trillion, six hundred sixty-nine billion, five hundred ninety-nine million, one hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 3660351329 7320702658 10981053987 14641405316 21962107974 29282810632 32943161961 43924215948 47584567277 58565621264 65886323922 87848431896 95169134554 98829485883 131772647844 142753701831 175696863792 190338269108 197658971766 263545295688 285507403662 296488457649 380676538216 395317943532 428261105493 527090591376 571014807324 592976915298 761353076432 790635887064 856522210986 1142029614648 1185953830596 1284783316479 1581271774128 1713044421972 2284059229296 2371907661192 2569566632958 3426088843944 3854349949437 4743815322384 5139133265916 6852177687888 7708699898874 10278266531832 15417399797748 20556533063664 30834799595496 61669599190992