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73445145552 = 243456670637
BaseRepresentation
bin100010001100110101…
…0111111101111010000
321000120111222222010000
41010121222333233100
52200403424124202
653423520210000
75210016302532
oct1043152775720
9230514888100
1073445145552
11291699629a9
1212298769900
136c0611910c
1437aa3b5852
151d9ccd491c
hex1119abfbd0

73445145552 has 50 divisors (see below), whose sum is σ = 212571563138. Its totient is φ = 24481714752.

The previous prime is 73445145523. The next prime is 73445145581. The reversal of 73445145552 is 25554154437.

73445145552 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 51 + 45 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (73445145523) and next prime (73445145581).

It can be written as a sum of positive squares in only one way, i.e., 61238431296 + 12206714256 = 247464^2 + 110484^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73445145498 and 73445145507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28334023 + ... + 28336614.

Almost surely, 273445145552 is an apocalyptic number.

73445145552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73445145552 is an abundant number, since it is smaller than the sum of its proper divisors (139126417586).

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

73445145552 is a wasteful number, since it uses less digits than its factorization.

73445145552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56670657 (or 56670642 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

Adding to 73445145552 its reverse (25554154437), we get a palindrome (98999299989).

The spelling of 73445145552 in words is "seventy-three billion, four hundred forty-five million, one hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 56670637 113341274 170011911 226682548 340023822 453365096 510035733 680047644 906730192 1020071466 1360095288 1530107199 2040142932 2720190576 3060214398 4080285864 4590321597 6120428796 8160571728 9180643194 12240857592 18361286388 24481715184 36722572776 73445145552