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212503914420196 = 2272739214092
BaseRepresentation
bin110000010100010101101100…
…010101010001011111100100
31000212102011202011121000122011
4300110111230111101133210
5210323131004042421241
62031542541154244004
762521621046250400
oct6024255425213744
91025364664530564
10212503914420196
116178a4497a7463
121ba00822b86604
139176057a85ba9
143a6935c660100
151987aab5b1281
hexc1456c5517e4

212503914420196 has 81 divisors (see below), whose sum is σ = 433491086953449. Its totient is φ = 90885318644736.

The previous prime is 212503914420179. The next prime is 212503914420199. The reversal of 212503914420196 is 691024419305212.

The square root of 212503914420196 is 14577514.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2706071060196 + 209797843360000 = 1645014^2 + 14484400^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (212503914420199) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150818959140 + ... + 150818960548.

Almost surely, 2212503914420196 is an apocalyptic number.

212503914420196 is the 14577514-th square number.

It is an amenable number.

212503914420196 is an abundant number, since it is smaller than the sum of its proper divisors (220987172533253).

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

212503914420196 is an frugal number, since it uses more digits than its factorization.

212503914420196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

212503914420196 divided by its sum of digits (49) gives a square (4336814580004 = 20825022).

The spelling of 212503914420196 in words is "two hundred twelve trillion, five hundred three billion, nine hundred fourteen million, four hundred twenty thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 739 1409 1478 2818 2956 5173 5636 9863 10346 19726 20692 36211 39452 69041 72422 138082 144844 276164 546121 1041251 1092242 1985281 2082502 2184484 3822847 3970562 4165004 7288757 7645694 7941124 13896967 14577514 15291388 26759929 27793934 29155028 51021299 53519858 55587868 97278769 102042598 107039716 194557538 204085196 389115076 769484489 1467122659 1538968978 2934245318 3077937956 5386391423 5868490636 10269858613 10772782846 20539717226 21545565692 37704739961 41079434452 71889010291 75409479922 143778020582 150818959844 287556041164 1084203645001 2168407290002 4336814580004 7589425515007 15178851030014 30357702060028 53125978605049 106251957210098 212503914420196