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238991115264 = 2103112642947
BaseRepresentation
bin1101111010010011111…
…0110000010000000000
3211211212200221120022120
43132210332300100000
512403423211142024
6301442505004240
723160264650616
oct3364476602000
9754780846276
10238991115264
11923a0288200
123a399783680
13196c9373505
14b7d26ab6b6
15633b5c2479
hex37a4fb0400

238991115264 has 132 divisors (see below), whose sum is σ = 700172943792. Its totient is φ = 72421437440.

The previous prime is 238991115239. The next prime is 238991115287. The reversal of 238991115264 is 462511199832.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50239 + ... + 693185.

Almost surely, 2238991115264 is an apocalyptic number.

238991115264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238991115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350086471896).

238991115264 is an abundant number, since it is smaller than the sum of its proper divisors (461181828528).

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

238991115264 is a wasteful number, since it uses less digits than its factorization.

238991115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642992 (or 642963 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The spelling of 238991115264 in words is "two hundred thirty-eight billion, nine hundred ninety-one million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 7744 8448 11264 11616 15488 16896 23232 30976 33792 46464 61952 92928 123904 185856 371712 642947 1285894 1928841 2571788 3857682 5143576 7072417 7715364 10287152 14144834 15430728 20574304 21217251 28289668 30861456 41148608 42434502 56579336 61722912 77796587 82297216 84869004 113158672 123445824 155593174 164594432 169738008 226317344 233389761 246891648 311186348 329188864 339476016 452634688 466779522 493783296 622372696 658377728 678952032 905269376 933559044 987566592 1244745392 1357904064 1810538752 1867118088 1975133184 2489490784 2715808128 3621077504 3734236176 4978981568 5431616256 7242155008 7468472352 9957963136 10863232512 14936944704 19915926272 21726465024 29873889408 39831852544 59747778816 79663705088 119495557632 238991115264