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45645631272 = 2335231020881
BaseRepresentation
bin101010100000101100…
…010000111100101000
311100211010022022200000
4222200230100330220
51221440240200042
632545212143000
73204066315123
oct524054207450
9140733268600
1045645631272
11183a385040a
128a1a767a60
1343c58c5797
1422d02d33ba
1512c247174c
hexaa0b10f28

45645631272 has 96 divisors (see below), whose sum is σ = 133776377280. Its totient is φ = 14553665280.

The previous prime is 45645631271. The next prime is 45645631303. The reversal of 45645631272 is 27213654654.

45645631272 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 5 + 631 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45645631271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465729 + ... + 555152.

It is an arithmetic number, because the mean of its divisors is an integer number (1393503930).

Almost surely, 245645631272 is an apocalyptic number.

It is an amenable number.

45645631272 is an abundant number, since it is smaller than the sum of its proper divisors (88130746008).

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

45645631272 is a wasteful number, since it uses less digits than its factorization.

45645631272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020925 (or 1020909 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 45645631272 in words is "forty-five billion, six hundred forty-five million, six hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 1020881 2041762 3062643 4083524 6125286 8167048 9187929 12250572 18375858 23480263 24501144 27563787 36751716 46960526 55127574 70440789 73503432 82691361 93921052 110255148 140881578 165382722 187842104 211322367 220510296 248074083 281763156 330765444 422644734 496148166 563526312 633967101 661530888 845289468 992296332 1267934202 1690578936 1901901303 1984592664 2535868404 3803802606 5071736808 5705703909 7607605212 11411407818 15215210424 22822815636 45645631272