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90375108434001 = 3210041678714889
BaseRepresentation
bin10100100011001000011000…
…001111000001100001010001
3102211222202221200210002010100
4110203020120033001201101
543321201210224342001
6520113430205123013
725015246302534456
oct2443103017014121
9384882850702110
1090375108434001
1126883960700606
12a177374b59469
133b5744a6c9ba1
14184627008782d
15a6ace5d71586
hex5232183c1851

90375108434001 has 6 divisors (see below), whose sum is σ = 130541823293570. Its totient is φ = 60250072289328.

The previous prime is 90375108433943. The next prime is 90375108434101. The reversal of 90375108434001 is 10043480157309.

90375108434001 is a `hidden beast` number, since 90 + 3 + 7 + 510 + 8 + 4 + 3 + 40 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62790806124225 + 27584302309776 = 7924065^2 + 5252076^2 .

It is not a de Polignac number, because 90375108434001 - 214 = 90375108417617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90375108434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5020839357436 + ... + 5020839357453.

Almost surely, 290375108434001 is an apocalyptic number.

It is an amenable number.

90375108434001 is a deficient number, since it is larger than the sum of its proper divisors (40166714859569).

90375108434001 is a wasteful number, since it uses less digits than its factorization.

90375108434001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041678714895 (or 10041678714892 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90375108434001 in words is "ninety trillion, three hundred seventy-five billion, one hundred eight million, four hundred thirty-four thousand, one".

Divisors: 1 3 9 10041678714889 30125036144667 90375108434001