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230761374504 = 23329157213451
BaseRepresentation
bin1101011011101001110…
…0110010001100101000
3211001122011020102100020
43112322130302030220
512240044402441004
6254002121040440
722446324214413
oct3267234621450
9731564212306
10230761374504
1189957864161
1238881626120
13189b736211b
14b2516bcb7a
156008d458d9
hex35ba732328

230761374504 has 96 divisors (see below), whose sum is σ = 600666775200. Its totient is φ = 73789497600.

The previous prime is 230761374491. The next prime is 230761374521. The reversal of 230761374504 is 405473167032.

230761374504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 17148979 + ... + 17162429.

It is an arithmetic number, because the mean of its divisors is an integer number (6256945575).

Almost surely, 2230761374504 is an apocalyptic number.

230761374504 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 230761374504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300333387600).

230761374504 is an abundant number, since it is smaller than the sum of its proper divisors (369905400696).

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

230761374504 is a wasteful number, since it uses less digits than its factorization.

230761374504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13803 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 230761374504 in words is "two hundred thirty billion, seven hundred sixty-one million, three hundred seventy-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 157 174 232 314 348 471 628 696 942 1256 1884 3768 4553 9106 13451 13659 18212 24649 26902 27318 36424 40353 49298 53804 54636 73947 80706 98596 107608 109272 147894 161412 197192 295788 322824 390079 591576 714821 780158 1170237 1429642 1560316 2111807 2144463 2340474 2859284 3120632 4223614 4288926 4680948 5718568 6335421 8447228 8577852 9361896 12670842 16894456 17155704 25341684 50683368 61242403 122484806 183727209 244969612 331553699 367454418 489939224 663107398 734908836 994661097 1326214796 1469817672 1989322194 2652429592 3978644388 7957288776 9615057271 19230114542 28845171813 38460229084 57690343626 76920458168 115380687252 230761374504