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1642421452401 = 331972287135017
BaseRepresentation
bin10111111001100111111…
…100100111111001110001
312211000101011201112201000
4113321213330213321301
5203402134342434101
63254303515432213
7226442506666602
oct27714774477161
95730334645630
101642421452401
11583602101564
1222638b755669
13bbb58865772
14596ca6ddda9
152caca97d486
hex17e67f27e71

1642421452401 has 32 divisors (see below), whose sum is σ = 2446655777280. Its totient is φ = 1088905120128.

The previous prime is 1642421452367. The next prime is 1642421452459. The reversal of 1642421452401 is 1042541242461.

1642421452401 is a `hidden beast` number, since 1 + 6 + 4 + 242 + 1 + 4 + 5 + 2 + 401 = 666.

It is not a de Polignac number, because 1642421452401 - 211 = 1642421450353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1642421452201) 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, 12097045 + ... + 12232061.

It is an arithmetic number, because the mean of its divisors is an integer number (76457993040).

Almost surely, 21642421452401 is an apocalyptic number.

It is an amenable number.

1642421452401 is a deficient number, since it is larger than the sum of its proper divisors (804234324879).

1642421452401 is a wasteful number, since it uses less digits than its factorization.

1642421452401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137510 (or 137504 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 1642421452401 its reverse (1042541242461), we get a palindrome (2684962694862).

The spelling of 1642421452401 in words is "one trillion, six hundred forty-two billion, four hundred twenty-one million, four hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 27 197 591 1773 2287 5319 6861 20583 61749 135017 405051 450539 1215153 1351617 3645459 4054851 12164553 26598349 79795047 239385141 308783879 718155423 926351637 2779054911 8337164733 60830424163 182491272489 547473817467 1642421452401