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20346502145032 = 2373152335336343
BaseRepresentation
bin1001010000001010010100…
…00010000110010000001000
32200001002212201101021001201
410220011022002012100020
510131324114022120112
6111135015401353544
74166662201453150
oct450051202062010
980032781337051
1020346502145032
1165349a3035158
1223473564988b4
13b478892b719b
14504ac132d760
152543d4ca3257
hex12814a086408

20346502145032 has 128 divisors (see below), whose sum is σ = 45112015503360. Its totient is φ = 8418794952960.

The previous prime is 20346502145029. The next prime is 20346502145033. The reversal of 20346502145032 is 23054120564302.

It is a super-3 number, since 3×203465021450323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20346502144982 and 20346502145000.

It is not an unprimeable number, because it can be changed into a prime (20346502145033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3207706453 + ... + 3207712795.

It is an arithmetic number, because the mean of its divisors is an integer number (352437621120).

Almost surely, 220346502145032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20346502145032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22556007751680).

20346502145032 is an abundant number, since it is smaller than the sum of its proper divisors (24765513358328).

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

20346502145032 is a wasteful number, since it uses less digits than its factorization.

20346502145032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 20346502145032 in words is "twenty trillion, three hundred forty-six billion, five hundred two million, one hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 523 868 1046 1736 2092 3533 3661 4184 6343 7066 7322 12686 14132 14644 16213 24731 25372 28264 29288 32426 44401 49462 50744 64852 88802 98924 109523 113491 129704 177604 196633 197848 219046 226982 355208 393266 438092 453964 766661 786532 876184 907928 1376431 1533322 1573064 1847759 2752862 3066644 3317389 3695518 5505724 6133288 6634778 7391036 11011448 12934313 13269556 14782072 22409819 23221723 25868626 26539112 44819638 46443446 51737252 57280529 89639276 92886892 102839059 103474504 114561058 156868733 179278552 185773784 205678118 229122116 313737466 400963703 411356236 458244232 627474932 694704389 719873413 801927406 822712472 1254949864 1389408778 1439746826 1603854812 2778817556 2879493652 3207709624 4862930723 5557635112 5758987304 9725861446 11720335337 19451722892 23440670674 38903445784 46881341348 82042347359 93762682696 164084694718 328169389436 363330395447 656338778872 726660790894 1453321581788 2543312768129 2906643163576 5086625536258 10173251072516 20346502145032