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6120144336 = 243237178079
BaseRepresentation
bin1011011001100100…
…11111110111010000
3120210112010112201110
411230302133313100
5100013224104321
62451143533320
7304443240255
oct55462376720
916715115643
106120144336
112660731029
12122975a240
13766c435a7
14420b6542c
1525c46b176
hex16cc9fdd0

6120144336 has 80 divisors (see below), whose sum is σ = 16730357760. Its totient is φ = 1923841920.

The previous prime is 6120144319. The next prime is 6120144367. The reversal of 6120144336 is 6334410216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39345 + ... + 117423.

It is an arithmetic number, because the mean of its divisors is an integer number (209129472).

Almost surely, 26120144336 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 6120144336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365178880).

6120144336 is an abundant number, since it is smaller than the sum of its proper divisors (10610213424).

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

6120144336 is a wasteful number, since it uses less digits than its factorization.

6120144336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78184 (or 78178 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6120144336 is about 78231.3513624813. The cubic root of 6120144336 is about 1829.1692344284.

The spelling of 6120144336 in words is "six billion, one hundred twenty million, one hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 852 1104 1136 1633 1704 3266 3408 4899 6532 9798 13064 19596 26128 39192 78079 78384 156158 234237 312316 468474 624632 936948 1249264 1795817 1873896 3591634 3747792 5387451 5543609 7183268 10774902 11087218 14366536 16630827 21549804 22174436 28733072 33261654 43099608 44348872 66523308 86199216 88697744 127503007 133046616 255006014 266093232 382509021 510012028 765018042 1020024056 1530036084 2040048112 3060072168 6120144336