Search a number
-
+
421106365575 = 325271914072059
BaseRepresentation
bin1100010000010111110…
…01010011010010000111
31111020221121220211111100
412020023321103102013
523344411212144300
6521241550511143
742265260022350
oct6101371232207
91436847824440
10421106365575
11152654624235
12697438054b3
13309302b515c
141654b3a2d27
15ae49856700
hex620be53487

421106365575 has 72 divisors (see below), whose sum is σ = 907366428800. Its totient is φ = 182373871680.

The previous prime is 421106365573. The next prime is 421106365583. The reversal of 421106365575 is 575563601124.

421106365575 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 0 + 636 + 5 + 5 + 7 + 5 = 666.

It is not a de Polignac number, because 421106365575 - 21 = 421106365573 is a prime.

It is a super-2 number, since 2×4211063655752 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421106365575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421106365573) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7006105 + ... + 7065954.

Almost surely, 2421106365575 is an apocalyptic number.

421106365575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

421106365575 is an abundant number, since it is smaller than the sum of its proper divisors (486260063225).

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

421106365575 is a wasteful number, since it uses less digits than its factorization.

421106365575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14072101 (or 14072093 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

Adding to 421106365575 its reverse (575563601124), we get a palindrome (996669966699).

The spelling of 421106365575 in words is "four hundred twenty-one billion, one hundred six million, three hundred sixty-five thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925 14072059 42216177 70360295 98504413 126648531 211080885 267369121 295513239 351801475 492522065 633242655 802107363 886539717 1055404425 1336845605 1477566195 1871583847 2406322089 2462610325 3166213275 4010536815 4432698585 5614751541 6684228025 7387830975 9357919235 12031610445 16844254623 20052684075 22163492925 28073757705 46789596175 60158052225 84221273115 140368788525 421106365575