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61274092308252 = 223235910633539831
BaseRepresentation
bin11011110111010011111001…
…00000011000011100011100
322000221202010211211212101120
431323221330200120130130
531012403320112331002
6334152532430210540
715622623062033115
oct1573517440303434
9260852124755346
1061274092308252
1118584218771aaa
126a573b5653a50
1328261783819c5
14111b97917920c
15713d2e2a9cbc
hex37ba7c81871c

61274092308252 has 96 divisors (see below), whose sum is σ = 151860491919360. Its totient is φ = 19187464443840.

The previous prime is 61274092308239. The next prime is 61274092308287. The reversal of 61274092308252 is 25280329047216.

It is a junction number, because it is equal to n+sod(n) for n = 61274092308195 and 61274092308204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15539977 + ... + 19079807.

It is an arithmetic number, because the mean of its divisors is an integer number (1581880124160).

It is a 1-persistent number, because it is pandigital, but 2⋅61274092308252 = 122548184616504 is not.

Almost surely, 261274092308252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61274092308252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75930245959680).

61274092308252 is an abundant number, since it is smaller than the sum of its proper divisors (90586399611108).

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

61274092308252 is a wasteful number, since it uses less digits than its factorization.

61274092308252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540983 (or 3540981 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 61274092308252 in words is "sixty-one trillion, two hundred seventy-four billion, ninety-two million, three hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1063 1357 2126 2714 3189 4071 4252 5428 6378 8142 12756 16284 24449 48898 62717 73347 97796 125434 146694 188151 250868 293388 376302 752604 1442491 2884982 3539831 4327473 5769964 7079662 8654946 10619493 14159324 17309892 21238986 42477972 81416113 162832226 208850029 244248339 325664452 417700058 488496678 626550087 835400116 976993356 1253100174 2506200348 3762840353 4803550667 7525680706 9607101334 11288521059 14410652001 15051361412 19214202668 22577042118 28821304002 45154084236 57642608004 86545328119 173090656238 222007580827 259635984357 346181312476 444015161654 519271968714 666022742481 888030323308 1038543937428 1332045484962 2664090969924 5106174359021 10212348718042 15318523077063 20424697436084 30637046154126 61274092308252