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45874008945720 = 2333542475934209
BaseRepresentation
bin10100110111000111000000…
…00000011111010000111000
320000102111211120001212021000
422123203200000133100320
522003044432242230340
6241322121225445000
712443200464213024
oct1233434000372070
9200374746055230
1045874008945720
111368707013167a
12518a834940760
131c79b92487167
14b48457401384
1554844cc81d30
hex29b8e001f438

45874008945720 has 64 divisors (see below), whose sum is σ = 152913363156000. Its totient is φ = 12233069051904.

The previous prime is 45874008945707. The next prime is 45874008945727. The reversal of 45874008945720 is 2754980047854.

It is a happy number.

45874008945720 is a `hidden beast` number, since 4 + 5 + 87 + 4 + 0 + 0 + 89 + 457 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45874008945727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21237966025 + ... + 21237968184.

Almost surely, 245874008945720 is an apocalyptic number.

45874008945720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45874008945720 is an abundant number, since it is smaller than the sum of its proper divisors (107039354210280).

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

45874008945720 is a wasteful number, since it uses less digits than its factorization.

45874008945720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42475934229 (or 42475934219 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 45874008945720 in words is "forty-five trillion, eight hundred seventy-four billion, eight million, nine hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 42475934209 84951868418 127427802627 169903736836 212379671045 254855605254 339807473672 382283407881 424759342090 509711210508 637139013135 764566815762 849518684180 1019422421016 1146850223643 1274278026270 1529133631524 1699037368360 1911417039405 2293700447286 2548556052540 3058267263048 3822834078810 4587400894572 5097112105080 5734251118215 7645668157620 9174801789144 11468502236430 15291336315240 22937004472860 45874008945720