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412770570345 = 32571777081339
BaseRepresentation
bin1100000000110110000…
…10110001000001101001
31110110102200122120010200
412000123002301001221
523230323231222340
6513342453502413
741551560646350
oct6003302610151
91413380576120
10412770570345
1114a067253971
1267bb8041a09
132cc02320543
1415d9a288997
15ab0cb2b330
hex601b0b1069

412770570345 has 48 divisors (see below), whose sum is σ = 865777610880. Its totient is φ = 177595402752.

The previous prime is 412770570323. The next prime is 412770570371. The reversal of 412770570345 is 543075077214.

412770570345 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 70 + 570 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 412770570345 - 214 = 412770553961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412770570345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38535315 + ... + 38546024.

It is an arithmetic number, because the mean of its divisors is an integer number (18037033560).

Almost surely, 2412770570345 is an apocalyptic number.

412770570345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412770570345 is an abundant number, since it is smaller than the sum of its proper divisors (453007040535).

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

412770570345 is a wasteful number, since it uses less digits than its factorization.

412770570345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77081374 (or 77081371 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 412770570345 in words is "four hundred twelve billion, seven hundred seventy million, five hundred seventy thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 77081339 231244017 385406695 539569373 693732051 1156220085 1310382763 1618708119 2697846865 3468660255 3931148289 4856124357 6551913815 8093540595 9172679341 11793444867 19655741445 24280621785 27518038023 45863396705 58967224335 82554114069 137590190115 412770570345