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20945287014012 = 22325320875259997
BaseRepresentation
bin1001100001100101101000…
…11001000110011001111100
32202011100110001202021011100
410300302310121012121330
510221131421433422022
6112314044303253100
74261150511043144
oct460626431063174
982140401667140
1020945287014012
116745934527839
1224234062aa190
13b8c19428304a
14525a86065924
15264c7d0e71ac
hex130cb464667c

20945287014012 has 72 divisors (see below), whose sum is σ = 53969851799136. Its totient is φ = 6846747433344.

The previous prime is 20945287013977. The next prime is 20945287014049. The reversal of 20945287014012 is 21041078254902.

20945287014012 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 528 + 70 + 1 + 40 + 12 = 666.

It is a super-2 number, since 2×209452870140122 (a number of 27 digits) contains 22 as substring.

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, 1351998 + ... + 6611994.

It is an arithmetic number, because the mean of its divisors is an integer number (749581274988).

Almost surely, 220945287014012 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 20945287014012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984925899568).

20945287014012 is an abundant number, since it is smaller than the sum of its proper divisors (33024564785124).

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

20945287014012 is a wasteful number, since it uses less digits than its factorization.

20945287014012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262147 (or 5262142 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20945287014012 in words is "twenty trillion, nine hundred forty-five billion, two hundred eighty-seven million, fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2087 4174 6261 8348 12522 18783 25044 37566 75132 110611 221222 331833 442444 663666 995499 1327332 1990998 3981996 5259997 10519994 15779991 21039988 31559982 47339973 63119964 94679946 189359892 278779841 557559682 836339523 1115119364 1672679046 2509018569 3345358092 5018037138 10036074276 10977613739 21955227478 32932841217 43910454956 65865682434 98798523651 131731364868 197597047302 395194094604 581813528167 1163627056334 1745440584501 2327254112668 3490881169002 5236321753503 6981762338004 10472643507006 20945287014012