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53455111605 = 32572611133517
BaseRepresentation
bin110001110010001011…
…000100010110110101
312002222101020000201100
4301302023010112311
51333434002032410
640320144320313
73601444644300
oct616213042665
9162871200640
1053455111605
1120741020595
12a43a013099
13506b82076c
142831565b37
1515ccd868c0
hexc722c45b5

53455111605 has 144 divisors (see below), whose sum is σ = 110550785904. Its totient is φ = 23816540160.

The previous prime is 53455111579. The next prime is 53455111607. The reversal of 53455111605 is 50611155435.

53455111605 is a `hidden beast` number, since 5 + 3 + 45 + 5 + 1 + 1 + 1 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8406322596 + 45048789009 = 91686^2 + 212247^2 .

It is not a de Polignac number, because 53455111605 - 25 = 53455111573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53455111605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53455111607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15197307 + ... + 15200823.

It is an arithmetic number, because the mean of its divisors is an integer number (767713791).

Almost surely, 253455111605 is an apocalyptic number.

It is an amenable number.

53455111605 is an abundant number, since it is smaller than the sum of its proper divisors (57095674299).

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

53455111605 is a wasteful number, since it uses less digits than its factorization.

53455111605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 53455111605 in words is "fifty-three billion, four hundred fifty-five million, one hundred eleven thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 61 63 105 113 147 183 245 305 315 339 427 441 549 565 735 791 915 1017 1281 1695 2135 2205 2373 2745 2989 3517 3843 3955 5085 5537 6405 6893 7119 8967 10551 11865 14945 16611 17585 19215 20679 24619 26901 27685 31653 34465 35595 44835 48251 49833 52755 62037 73857 83055 103395 123095 134505 144753 158265 172333 214537 221571 241255 249165 310185 337757 369285 397421 434259 516999 643611 723765 861665 1013271 1072685 1107855 1192263 1501759 1550997 1688785 1930833 1987105 2171295 2584995 2781947 3039813 3218055 3576789 4505277 5066355 5961315 7508795 7754985 8345841 9654165 10512313 13515831 13909735 15199065 17883945 19473629 22526385 24242681 25037523 31536939 41729205 52561565 58420887 67579155 72728043 94610817 97368145 121213405 125187615 157684695 169698767 175262661 218184129 292104435 363640215 473054085 509096301 848493835 876313305 1090920645 1187891369 1527288903 2545481505 3563674107 5939456845 7636444515 10691022321 17818370535 53455111605