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46525252564 = 22723445116231
BaseRepresentation
bin101011010101000111…
…110000001111010100
311110002102110201020101
4223111013300033110
51230240431040224
633212353343444
73234640056520
oct532507601724
9143072421211
1046525252564
111880532395a
129025267b84
134505c0555b
142375066d80
1513247c5044
hexad51f03d4

46525252564 has 48 divisors (see below), whose sum is σ = 97123977216. Its totient is φ = 19067004000.

The previous prime is 46525252559. The next prime is 46525252567.

46525252564 is nontrivially palindromic in base 10.

46525252564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×465252525642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46525252567) 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, 2858329 + ... + 2874559.

It is an arithmetic number, because the mean of its divisors is an integer number (2023416192).

Almost surely, 246525252564 is an apocalyptic number.

It is an amenable number.

46525252564 is an abundant number, since it is smaller than the sum of its proper divisors (50598724652).

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

46525252564 is a wasteful number, since it uses less digits than its factorization.

46525252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716 (or 20714 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 46.

The spelling of 46525252564 in words is "forty-six billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 4451 8902 16231 17804 31157 32462 62314 64924 102373 113617 124628 204746 227234 373313 409492 454468 716611 746626 1433222 1493252 2613191 2866444 5226382 10452764 72244181 144488362 288976724 505709267 1011418534 1661616163 2022837068 3323232326 6646464652 11631313141 23262626282 46525252564