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47470418008431 = 31123334720178821
BaseRepresentation
bin10101100101100100100010…
…11001110001100101101111
320020002010110001100211022220
422302302101121301211233
522210223404002232211
6244543335312210423
712666424132312125
oct1262622131614557
9206063401324286
1047470418008431
11141421004617a0
1253a8102b39a13
132064597454122
14ba181ac1b915
15574c33e94806
hex2b2c9167196f

47470418008431 has 64 divisors (see below), whose sum is σ = 69586429625856. Its totient is φ = 28546521292800.

The previous prime is 47470418008427. The next prime is 47470418008439. The reversal of 47470418008431 is 13480081407474.

It is a happy number.

It is not a de Polignac number, because 47470418008431 - 22 = 47470418008427 is a prime.

It is a super-4 number, since 4×474704180084314 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47470418008439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5381519001 + ... + 5381527821.

It is an arithmetic number, because the mean of its divisors is an integer number (1087287962904).

Almost surely, 247470418008431 is an apocalyptic number.

47470418008431 is a deficient number, since it is larger than the sum of its proper divisors (22116011617425).

47470418008431 is a wasteful number, since it uses less digits than its factorization.

47470418008431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 47470418008431 in words is "forty-seven trillion, four hundred seventy billion, four hundred eighteen million, eight thousand, four hundred thirty-one".

Divisors: 1 3 11 33 233 347 699 1041 2017 2563 3817 6051 7689 8821 11451 22187 26463 66561 80851 97031 242553 291093 469961 699899 889361 1409883 2055293 2099697 2668083 3060887 5169571 6165879 7698889 9182661 15508713 17791957 22608223 23096667 33669757 53375871 67824669 101009271 163076467 195711527 489229401 587134581 713186671 1793841137 2139560013 4145525981 5381523411 6173809079 7845053381 12436577943 18521427237 23535160143 45600785791 67911899869 136802357373 203735699607 1438497515407 4315492546221 15823472669477 47470418008431