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5396042016 = 253313745587
BaseRepresentation
bin1010000011010000…
…10001000100100000
3111221001121100002000
411001220101010200
542022341321031
62251235524000
7250501412631
oct50150210440
914831540060
105396042016
112319a1a262
121067159600
1367cc15791
14392915888
15218ad73e6
hex141a11120

5396042016 has 96 divisors (see below), whose sum is σ = 15853682880. Its totient is φ = 1785512448.

The previous prime is 5396041999. The next prime is 5396042017. The reversal of 5396042016 is 6102406935.

It is a happy number.

5396042016 is a `hidden beast` number, since 5 + 39 + 604 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (5396042017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95575 + ... + 141161.

It is an arithmetic number, because the mean of its divisors is an integer number (165142530).

Almost surely, 25396042016 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 5396042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926841440).

5396042016 is an abundant number, since it is smaller than the sum of its proper divisors (10457640864).

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

5396042016 is a wasteful number, since it uses less digits than its factorization.

5396042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45743 (or 45729 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5396042016 is about 73457.7566768820. The cubic root of 5396042016 is about 1753.9819005520.

The spelling of 5396042016 in words is "five billion, three hundred ninety-six million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 2192 2466 3288 3699 4384 4932 6576 7398 9864 13152 14796 19728 29592 39456 45587 59184 91174 118368 136761 182348 273522 364696 410283 547044 729392 820566 1094088 1230849 1458784 1641132 2188176 2461698 3282264 4376352 4923396 6245419 6564528 9846792 12490838 13129056 18736257 19693584 24981676 37472514 39387168 49963352 56208771 74945028 99926704 112417542 149890056 168626313 199853408 224835084 299780112 337252626 449670168 599560224 674505252 899340336 1349010504 1798680672 2698021008 5396042016