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2145368448 = 273217109547
BaseRepresentation
bin111111111011111…
…1011100110000000
312112111220000020200
41333313323212000
513343203242243
6552514405200
7104110221336
oct17767734600
95474800220
102145368448
11a01006083
124ba590800
132826140b2
14164cd9b56
15c8529ad3
hex7fdfb980

2145368448 has 96 divisors (see below), whose sum is σ = 6536729160. Its totient is φ = 673050624.

The previous prime is 2145368441. The next prime is 2145368471. The reversal of 2145368448 is 8448635412.

2145368448 is a `hidden beast` number, since 2 + 145 + 3 + 68 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145368441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35190 + ... + 74357.

Almost surely, 22145368448 is an apocalyptic number.

It is an amenable number.

2145368448 is an abundant number, since it is smaller than the sum of its proper divisors (4391360712).

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

2145368448 is a wasteful number, since it uses less digits than its factorization.

2145368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109584 (or 109569 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2145368448 is about 46318.1222417317. The cubic root of 2145368448 is about 1289.7354279841.

The spelling of 2145368448 in words is "two billion, one hundred forty-five million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 109547 219094 328641 438188 657282 876376 985923 1314564 1752752 1862299 1971846 2629128 3505504 3724598 3943692 5258256 5586897 7011008 7449196 7887384 10516512 11173794 14022016 14898392 15774768 16760691 21033024 22347588 29796784 31549536 33521382 42066048 44695176 59593568 63099072 67042764 89390352 119187136 126198144 134085528 178780704 238374272 268171056 357561408 536342112 715122816 1072684224 2145368448