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4104136728 = 2333131145043
BaseRepresentation
bin1111010010100000…
…0010100000011000
3101121000122202012000
43310220002200120
531401124333403
61515125521000
7203463405126
oct36450024030
911530582160
104104136728
11181675073a
12966573160
13505383093
142ad100916
151904957a3
hexf4a02818

4104136728 has 64 divisors (see below), whose sum is σ = 11487484800. Its totient is φ = 1357593120.

The previous prime is 4104136727. The next prime is 4104136741. The reversal of 4104136728 is 8276314014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4104136692 and 4104136701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104136727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44226 + ... + 100817.

It is an arithmetic number, because the mean of its divisors is an integer number (179491950).

Almost surely, 24104136728 is an apocalyptic number.

It is an amenable number.

4104136728 is an abundant number, since it is smaller than the sum of its proper divisors (7383348072).

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

4104136728 is a wasteful number, since it uses less digits than its factorization.

4104136728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145189 (or 145179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4104136728 is about 64063.5366491735. The cubic root of 4104136728 is about 1601.0587690172.

The spelling of 4104136728 in words is "four billion, one hundred four million, one hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 14148 28296 145043 290086 435129 580172 870258 1160344 1305387 1740516 2610774 3481032 3916161 5221548 7832322 10443096 15664644 19000633 31329288 38001266 57001899 76002532 114003798 152005064 171005697 228007596 342011394 456015192 513017091 684022788 1026034182 1368045576 2052068364 4104136728