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61436133250332 = 223171051286543783
BaseRepresentation
bin11011111100000001101101…
…11001100001010100011100
322001112020101202110121120220
431332000312321201110130
531023032200103002312
6334355211530041340
715640420440231561
oct1576006671412434
9261466352417526
1061436133250332
1118636a10646155
126a82898879250
1328385303cc259
14112574bb64868
15718164ee5c8c
hex37e036e6151c

61436133250332 has 48 divisors (see below), whose sum is σ = 151927806627072. Its totient is φ = 19255742150400.

The previous prime is 61436133250291. The next prime is 61436133250337. The reversal of 61436133250332 is 23305233163416.

61436133250332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614361332503322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61436133250337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143057488 + ... + 143486295.

It is an arithmetic number, because the mean of its divisors is an integer number (3165162638064).

Almost surely, 261436133250332 is an apocalyptic number.

It is an amenable number.

61436133250332 is an abundant number, since it is smaller than the sum of its proper divisors (90491673376740).

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

61436133250332 is a wasteful number, since it uses less digits than its factorization.

61436133250332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286544858 (or 286544856 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

It can be divided in two parts, 6143613 and 3250332, that added together give a triangular number (9393945 = T4334).

The spelling of 61436133250332 in words is "sixty-one trillion, four hundred thirty-six billion, one hundred thirty-three million, two hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1051 2102 3153 4204 6306 12612 17867 35734 53601 71468 107202 214404 286543783 573087566 859631349 1146175132 1719262698 3438525396 4871244311 9742488622 14613732933 19484977244 29227465866 58454931732 301157515933 602315031866 903472547799 1204630063732 1806945095598 3613890191196 5119677770861 10239355541722 15359033312583 20478711083444 30718066625166 61436133250332