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4166438136 = 233726339419
BaseRepresentation
bin1111100001010110…
…1100110011111000
3101202100212222122120
43320111230303320
532013102010021
61525233121240
7205151065650
oct37025546370
911670788576
104166438136
111848933703
129833b9220
13515257713
142b74bb360
15195ba02c6
hexf856ccf8

4166438136 has 64 divisors (see below), whose sum is σ = 11909894400. Its totient is φ = 1189832448.

The previous prime is 4166438119. The next prime is 4166438167. The reversal of 4166438136 is 6318346614.

It is a super-2 number, since 2×41664381362 = 34718413482230308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437635 + ... + 447053.

It is an arithmetic number, because the mean of its divisors is an integer number (186092100).

Almost surely, 24166438136 is an apocalyptic number.

It is an amenable number.

4166438136 is an abundant number, since it is smaller than the sum of its proper divisors (7743456264).

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

4166438136 is a wasteful number, since it uses less digits than its factorization.

4166438136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12068 (or 12064 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 4166438136 is about 64547.9522215848. The cubic root of 4166438136 is about 1609.1195546138.

It can be divided in two parts, 41664 and 38136, that added together give a triangular number (79800 = T399).

The spelling of 4166438136 in words is "four billion, one hundred sixty-six million, four hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2633 5266 7899 9419 10532 15798 18431 18838 21064 28257 31596 36862 37676 55293 56514 63192 65933 73724 75352 110586 113028 131866 147448 197799 221172 226056 263732 395598 442344 527464 791196 1582392 24800227 49600454 74400681 99200908 148801362 173601589 198401816 297602724 347203178 520804767 595205448 694406356 1041609534 1388812712 2083219068 4166438136