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201073258152 = 233213241891377
BaseRepresentation
bin1011101101000011100…
…1100110111010101000
3201020000010210211220100
42323100321212322220
511243244223230102
6232212145425400
720345532331344
oct2732071467250
9636003724810
10201073258152
1178302680a08
1232b7703b260
1315c65798b80
149a3685c624
15536c7c6a1c
hex2ed0e66ea8

201073258152 has 96 divisors (see below), whose sum is σ = 588897789480. Its totient is φ = 61611909120.

The previous prime is 201073258091. The next prime is 201073258153. The reversal of 201073258152 is 251852370102.

201073258152 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 73 + 2 + 581 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91304291556 + 109768966596 = 302166^2 + 331314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201073258153) 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, 220113 + ... + 671264.

Almost surely, 2201073258152 is an apocalyptic number.

It is an amenable number.

201073258152 is an abundant number, since it is smaller than the sum of its proper divisors (387824531328).

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

201073258152 is a wasteful number, since it uses less digits than its factorization.

201073258152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891643 (or 891636 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 201073258152 in words is "two hundred one billion, seventy-three million, two hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 241 312 468 482 723 936 964 1446 1928 2169 2892 3133 4338 5784 6266 8676 9399 12532 17352 18798 25064 28197 37596 56394 75192 112788 225576 891377 1782754 2674131 3565508 5348262 7131016 8022393 10696524 11587901 16044786 21393048 23175802 32089572 34763703 46351604 64179144 69527406 92703208 104291109 139054812 208582218 214821857 278109624 417164436 429643714 644465571 834328872 859287428 1288931142 1718574856 1933396713 2577862284 2792684141 3866793426 5155724568 5585368282 7733586852 8378052423 11170736564 15467173704 16756104846 22341473128 25134157269 33512209692 50268314538 67024419384 100536629076 201073258152