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1378848768 = 2123111012
BaseRepresentation
bin101001000101111…
…1001000000000000
310120002112202220220
41102023321000000
510310441130033
6344453303040
746112010153
oct12213710000
93502482826
101378848768
11648362540
12325934a80
1318c88435b
14d11a7c9a
15810b7bb3
hex522f9000

1378848768 has 156 divisors (see below), whose sum is σ = 4050809904. Its totient is φ = 413696000.

The previous prime is 1378848763. The next prime is 1378848797. The reversal of 1378848768 is 8678488731.

It is not an unprimeable number, because it can be changed into a prime (1378848763) 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, 13651918 + ... + 13652018.

Almost surely, 21378848768 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 1378848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025404952).

1378848768 is an abundant number, since it is smaller than the sum of its proper divisors (2671961136).

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

1378848768 is an equidigital number, since it uses as much as digits as its factorization.

1378848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 117 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The square root of 1378848768 is about 37132.8529472218. The cubic root of 1378848768 is about 1113.0266040014.

The spelling of 1378848768 in words is "one billion, three hundred seventy-eight million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 512 528 606 704 768 808 1024 1056 1111 1212 1408 1536 1616 2048 2112 2222 2424 2816 3072 3232 3333 4096 4224 4444 4848 5632 6144 6464 6666 8448 8888 9696 10201 11264 12288 12928 13332 16896 17776 19392 20402 22528 25856 26664 30603 33792 35552 38784 40804 45056 51712 53328 61206 67584 71104 77568 81608 103424 106656 112211 122412 135168 142208 155136 163216 206848 213312 224422 244824 284416 310272 326432 336633 413696 426624 448844 489648 568832 620544 652864 673266 853248 897688 979296 1137664 1241088 1305728 1346532 1706496 1795376 1958592 2275328 2611456 2693064 3412992 3590752 3917184 4550656 5222912 5386128 6825984 7181504 7834368 10445824 10772256 13651968 14363008 15668736 20891648 21544512 28726016 31337472 41783296 43089024 57452032 62674944 86178048 114904064 125349888 172356096 229808128 344712192 459616256 689424384 1378848768