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127835100476481 = 31272519411331761
BaseRepresentation
bin11101000100001111101101…
…110000001111010001000001
3121202121220201221121201001210
4131010033231300033101001
5113223422241210221411
61131514345011520333
735632531650321156
oct3504175560172101
9552556657551053
10127835100476481
113780661a6237a2
12124073705b90a9
135643a4b9a4c78
14237d37521022d
15eba43e922ca6
hex7443edc0f441

127835100476481 has 16 divisors (see below), whose sum is σ = 171789712283648. Its totient is φ = 84551950828800.

The previous prime is 127835100476441. The next prime is 127835100476483. The reversal of 127835100476481 is 184674001538721.

It is not a de Polignac number, because 127835100476481 - 27 = 127835100476353 is a prime.

It is a super-2 number, since 2×1278351004764812 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127835100476483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95323641 + ... + 96655401.

It is an arithmetic number, because the mean of its divisors is an integer number (10736857017728).

Almost surely, 2127835100476481 is an apocalyptic number.

It is an amenable number.

127835100476481 is a deficient number, since it is larger than the sum of its proper divisors (43954611807167).

127835100476481 is a wasteful number, since it uses less digits than its factorization.

127835100476481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583832.

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 127835100476481 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, one hundred million, four hundred seventy-six thousand, four hundred eighty-one".

Divisors: 1 3 127 381 251941 755823 1331761 3995283 31996507 95989521 169133647 507400941 335525198101 1006575594303 42611700158827 127835100476481