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525471400101042 = 23367544926654081
BaseRepresentation
bin111011101111010011101100…
…0001001001000010010110010
32112220112120112100121120221000
41313132213120021020102302
51022333310411411213132
65101330121220342430
7215453025102465603
oct16736473011102262
92486476470546830
10525471400101042
1114248219538942a
124ab27a64844a16
13197289818aa0c5
1493a8d46b75daa
1540b3ab4d7487c
hex1dde9d82484b2

525471400101042 has 64 divisors (see below), whose sum is σ = 1185360334704000. Its totient is φ = 172511176273920.

The previous prime is 525471400101029. The next prime is 525471400101059. The reversal of 525471400101042 is 240101004174525.

525471400101042 is a `hidden beast` number, since 5 + 2 + 5 + 471 + 40 + 0 + 101 + 0 + 42 = 666.

It is a super-2 number, since 2×5254714001010422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 525471400100988 and 525471400101006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6387442 + ... + 33041522.

It is an arithmetic number, because the mean of its divisors is an integer number (18521255229750).

Almost surely, 2525471400101042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525471400101042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592680167352000).

525471400101042 is an abundant number, since it is smaller than the sum of its proper divisors (659888934602958).

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

525471400101042 is a wasteful number, since it uses less digits than its factorization.

525471400101042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26659608 (or 26659602 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 525471400101042 its reverse (240101004174525), we get a palindrome (765572404275567).

The spelling of 525471400101042 in words is "five hundred twenty-five trillion, four hundred seventy-one billion, four hundred million, one hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 5449 10898 16347 32694 49041 98082 147123 294246 365083 730166 1095249 2190498 3285747 6571494 9857241 19714482 26654081 53308162 79962243 159924486 239886729 479773458 719660187 1439320374 1785823427 3571646854 5357470281 10714940562 16072410843 32144821686 48217232529 96434465058 145238087369 290476174738 435714262107 871428524214 1307142786321 2614285572642 3921428358963 7842856717926 9730951853723 19461903707446 29192855561169 58385711122338 87578566683507 175157133367014 262735700050521 525471400101042