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453938465120 = 25571492720149
BaseRepresentation
bin1101001101100001101…
…01110100100101100000
31121101200202022022002012
412212300311310211200
524414131221340440
6544311512412052
744540006201240
oct6466065644540
91541622268065
10453938465120
1116557247a5a8
1273b870a7028
1333a63335caa
1417d839c9b20
15bc1be0ae65
hex69b0d74960

453938465120 has 96 divisors (see below), whose sum is σ = 1233860040000. Its totient is φ = 154591451136.

The previous prime is 453938465111. The next prime is 453938465131. The reversal of 453938465120 is 21564839354.

It is a super-2 number, since 2×4539384651202 (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 1193195 + ... + 1526954.

It is an arithmetic number, because the mean of its divisors is an integer number (12852708750).

Almost surely, 2453938465120 is an apocalyptic number.

453938465120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

453938465120 is an abundant number, since it is smaller than the sum of its proper divisors (779921574880).

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

453938465120 is a wasteful number, since it uses less digits than its factorization.

453938465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720320 (or 2720312 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 453938465120 in words is "four hundred fifty-three billion, nine hundred thirty-eight million, four hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 160 224 280 298 560 596 745 1043 1120 1192 1490 2086 2384 2980 4172 4768 5215 5960 8344 10430 11920 16688 20860 23840 33376 41720 83440 166880 2720149 5440298 10880596 13600745 19041043 21761192 27201490 38082086 43522384 54402980 76164172 87044768 95205215 108805960 152328344 190410430 217611920 304656688 380820860 405302201 435223840 609313376 761641720 810604402 1523283440 1621208804 2026511005 2837115407 3046566880 3242417608 4053022010 5674230814 6484835216 8106044020 11348461628 12969670432 14185577035 16212088040 22696923256 28371154070 32424176080 45393846512 56742308140 64848352160 90787693024 113484616280 226969232560 453938465120