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4155152016 = 2432916971759
BaseRepresentation
bin1111011110101010…
…1001011010010000
3101201120122121000010
43313222221122100
532002204331031
61524151154520
7204653131551
oct36752513220
911646577003
104155152016
111842525234
1297b675a40
13512b05642
142b5bc0328
15194bc1246
hexf7aa9690

4155152016 has 80 divisors (see below), whose sum is σ = 11117145600. Its totient is φ = 1335742464.

The previous prime is 4155152003. The next prime is 4155152033. The reversal of 4155152016 is 6102515514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361345 + ... + 2363103.

It is an arithmetic number, because the mean of its divisors is an integer number (138964320).

Almost surely, 24155152016 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 4155152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558572800).

4155152016 is an abundant number, since it is smaller than the sum of its proper divisors (6961993584).

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

4155152016 is a wasteful number, since it uses less digits than its factorization.

4155152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 4155152016 is about 64460.4686300061. The cubic root of 4155152016 is about 1607.6653037215.

The spelling of 4155152016 in words is "four billion, one hundred fifty-five million, one hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1697 1759 3394 3518 5091 5277 6788 7036 10182 10554 13576 14072 20364 21108 27152 28144 40728 42216 49213 51011 81456 84432 98426 102022 147639 153033 196852 204044 295278 306066 393704 408088 590556 612132 787408 816176 1181112 1224264 2362224 2448528 2985023 5970046 8955069 11940092 17910138 23880184 35820276 47760368 71640552 86565667 143281104 173131334 259697001 346262668 519394002 692525336 1038788004 1385050672 2077576008 4155152016