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45335579691132 = 22332326161697643
BaseRepresentation
bin10100100111011100000110…
…00111111000100001111100
312221112001001111102202011000
422103232003013320201330
521420234231400104012
6240230513334130300
712356246633110263
oct1223560307704174
9187461044382130
1045335579691132
1113499790926445
125102409ab0990
131c3b185818cb3
14b2a37a48b5da
155394384d7ddc
hex293b831f887c

45335579691132 has 96 divisors (see below), whose sum is σ = 122651842844160. Its totient is φ = 14454249258240.

The previous prime is 45335579691107. The next prime is 45335579691161. The reversal of 45335579691132 is 23119697553354.

45335579691132 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 557 + 9 + 69 + 1 + 13 + 2 = 666.

45335579691132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45335579691132.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64635103 + ... + 65332745.

It is an arithmetic number, because the mean of its divisors is an integer number (1277623362960).

Almost surely, 245335579691132 is an apocalyptic number.

It is an amenable number.

45335579691132 is an abundant number, since it is smaller than the sum of its proper divisors (77316263153028).

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

45335579691132 is a wasteful number, since it uses less digits than its factorization.

45335579691132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723840 (or 723832 counting only the distinct ones).

The product of its digits is 91854000, while the sum is 63.

The spelling of 45335579691132 in words is "forty-five trillion, three hundred thirty-five billion, five hundred seventy-nine million, six hundred ninety-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 26161 52322 78483 104644 156966 235449 313932 470898 601703 697643 706347 941796 1203406 1395286 1412694 1805109 2092929 2406812 2790572 2825388 3610218 4185858 5415327 6278787 7220436 8371716 10830654 12557574 16045789 16245981 18836361 21661308 25115148 32091578 32491962 37672722 48137367 64183156 64983924 75345444 96274734 144412101 192549468 288824202 433236303 577648404 866472606 1732945212 18251038523 36502077046 54753115569 73004154092 109506231138 164259346707 219012462276 328518693414 419773886029 492778040121 657037386828 839547772058 985556080242 1259321658087 1679095544116 1971112160484 2518643316174 3777964974261 5037286632348 7555929948522 11333894922783 15111859897044 22667789845566 45335579691132