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212570392484352 = 2937139543126189
BaseRepresentation
bin110000010101010011100110…
…101110111101101000000000
31000212122112100010210120210110
4300111103212232331220000
5210330223130433444402
62032033253514031320
762526463326416460
oct6025234656755000
91025575303716713
10212570392484352
1161805662949a51
121ba11696418540
13917c3c0653626
143a6c667607ba0
15198969c8d056c
hexc154e6bbda00

212570392484352 has 320 divisors, whose sum is σ = 652001969203200. Its totient is φ = 60284055306240.

The previous prime is 212570392484323. The next prime is 212570392484419. The reversal of 212570392484352 is 253484293075212.

It is a junction number, because it is equal to n+sod(n) for n = 212570392484292 and 212570392484301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8116768474 + ... + 8116794662.

It is an arithmetic number, because the mean of its divisors is an integer number (2037506153760).

Almost surely, 2212570392484352 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 212570392484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326000984601600).

212570392484352 is an abundant number, since it is smaller than the sum of its proper divisors (439431576718848).

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

212570392484352 is a wasteful number, since it uses less digits than its factorization.

212570392484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31787 (or 31771 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 212570392484352 in words is "two hundred twelve trillion, five hundred seventy billion, three hundred ninety-two million, four hundred eighty-four thousand, three hundred fifty-two".