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45672706332 = 22351129147299
BaseRepresentation
bin101010100010010011…
…100011000100011100
311100220000020212200000
4222202103203010130
51222014203100312
632552020334300
73204545412141
oct524223430434
9140800225600
1045672706332
11184080632a0
128a27844390
1343cb3b5326
1422d3b403c8
1512c4a1dadc
hexaa24e311c

45672706332 has 144 divisors (see below), whose sum is σ = 135115344000. Its totient is φ = 13362874560.

The previous prime is 45672706309. The next prime is 45672706463. The reversal of 45672706332 is 23360727654.

45672706332 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 2 + 7 + 0 + 633 + 2 = 666.

It is a super-2 number, since 2×456727063322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236419 + ... + 383717.

It is an arithmetic number, because the mean of its divisors is an integer number (938301000).

Almost surely, 245672706332 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 45672706332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67557672000).

45672706332 is an abundant number, since it is smaller than the sum of its proper divisors (89442637668).

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

45672706332 is a wasteful number, since it uses less digits than its factorization.

45672706332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147358 (or 147344 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 45672706332 in words is "forty-five billion, six hundred seventy-two million, seven hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 243 261 297 319 324 348 396 486 522 594 638 783 891 957 972 1044 1188 1276 1566 1782 1914 2349 2673 2871 3132 3564 3828 4698 5346 5742 7047 8613 9396 10692 11484 14094 17226 25839 28188 34452 51678 77517 103356 147299 155034 294598 310068 441897 589196 883794 1325691 1620289 1767588 2651382 3240578 3977073 4271671 4860867 5302764 6481156 7954146 8543342 9721734 11931219 12815013 14582601 15908292 17086684 19443468 23862438 25630026 29165202 35793657 38445039 43747803 46988381 47724876 51260052 58330404 71587314 76890078 87495606 93976762 115335117 131243409 140965143 143174628 153780156 174991212 187953524 230670234 262486818 281930286 346005351 393730227 422895429 461340468 524973636 563860572 692010702 787460454 845790858 1038016053 1268686287 1384021404 1574920908 1691581716 2076032106 2537372574 3806058861 4152064212 5074745148 7612117722 11418176583 15224235444 22836353166 45672706332