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31052074400 = 255261636313
BaseRepresentation
bin11100111010110110…
…010000110110100000
32222011001221211010122
4130322312100312200
51002043312340100
622133133415412
72146333164104
oct347266206640
988131854118
1031052074400
11121950a5106
12602733a568
132c0b335929
14170806d904
15c1b194985
hex73ad90da0

31052074400 has 72 divisors (see below), whose sum is σ = 77048717004. Its totient is φ = 12217190400.

The previous prime is 31052074397. The next prime is 31052074477. The reversal of 31052074400 is 447025013.

It can be written as a sum of positive squares in 6 ways, for example, as 3175097104 + 27876977296 = 56348^2 + 166964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31052074400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269357 + ... + 366956.

Almost surely, 231052074400 is an apocalyptic number.

It is an amenable number.

31052074400 is an abundant number, since it is smaller than the sum of its proper divisors (45996642604).

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

31052074400 is a wasteful number, since it uses less digits than its factorization.

31052074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636394 (or 636381 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 31052074400 its reverse (447025013), we get a palindrome (31499099413).

The spelling of 31052074400 in words is "thirty-one billion, fifty-two million, seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800 636313 1272626 2545252 3181565 5090504 6363130 10181008 12726260 15907825 20362016 25452520 31815650 38815093 50905040 63631300 77630186 101810080 127262600 155260372 194075465 254525200 310520744 388150930 509050400 621041488 776301860 970377325 1242082976 1552603720 1940754650 3105207440 3881509300 6210414880 7763018600 15526037200 31052074400