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4119452136 = 23325310392
BaseRepresentation
bin1111010110001001…
…1101100111101000
3101122002110211222100
43311202131213220
531414034432021
61520434053400
7204040523352
oct36542354750
911562424870
104119452136
1118243613a8
1296b71a260
135085b6157
142b116a0d2
151919bd626
hexf589d9e8

4119452136 has 72 divisors (see below), whose sum is σ = 11378307330. Its totient is φ = 1345945536.

The previous prime is 4119452101. The next prime is 4119452147. The reversal of 4119452136 is 6312549114.

It is a happy number.

4119452136 is a `hidden beast` number, since 4 + 11 + 94 + 521 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3147883236 + 971568900 = 56106^2 + 31170^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4119452136.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3964305 + ... + 3965343.

Almost surely, 24119452136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119452136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689153665).

4119452136 is an abundant number, since it is smaller than the sum of its proper divisors (7258855194).

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

4119452136 is a wasteful number, since it uses less digits than its factorization.

4119452136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 1097 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4119452136 is about 64182.9582989130. The cubic root of 4119452136 is about 1603.0478539715.

The spelling of 4119452136 in words is "four billion, one hundred nineteen million, four hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1039 1272 1908 2078 3117 3816 4156 6234 8312 9351 12468 18702 24936 37404 55067 74808 110134 165201 220268 330402 440536 495603 660804 991206 1079521 1321608 1982412 2159042 3238563 3964824 4318084 6477126 8636168 9715689 12954252 19431378 25908504 38862756 57214613 77725512 114429226 171643839 228858452 343287678 457716904 514931517 686575356 1029863034 1373150712 2059726068 4119452136