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252112222211252 = 2213219148113253743
BaseRepresentation
bin111001010100101101110011…
…011100101100110010110100
31020001122200201020112011210212
4321110231303130230302310
5231021101312341230002
62252110431143204552
7104050335614432324
oct7124556334546264
91201580636464725
10252112222211252
1173370213982557
1224339055146758
13aa8a107c50500
144638422081284
151e2303de2c352
hexe54b7372ccb4

252112222211252 has 72 divisors (see below), whose sum is σ = 503229285336960. Its totient is φ = 110160862306560.

The previous prime is 252112222211189. The next prime is 252112222211293.

252112222211252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12395093 + ... + 25648835.

It is an arithmetic number, because the mean of its divisors is an integer number (6989295629680).

Almost surely, 2252112222211252 is an apocalyptic number.

It is an amenable number.

252112222211252 is a deficient number, since it is larger than the sum of its proper divisors (251117063125708).

252112222211252 is a wasteful number, since it uses less digits than its factorization.

252112222211252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13255273 (or 13255258 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The spelling of 252112222211252 in words is "two hundred fifty-two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 494 676 988 1481 2962 3211 5924 6422 12844 19253 28139 38506 56278 77012 112556 250289 365807 500578 731614 1001156 1463228 4755491 9510982 13253743 19021964 26507486 53014972 172298659 251821117 344597318 503642234 689194636 1007284468 2239882567 3273674521 4479765134 6547349042 8959530268 13094698084 19628793383 39257586766 42557768773 78515173532 85115537546 170231075092 255174313979 372947074277 510348627958 745894148554 1020697255916 1491788297108 3317266081727 4848311965601 6634532163454 9696623931202 13269064326908 19393247862404 63028055552813 126056111105626 252112222211252