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232878096248 = 237171513115209
BaseRepresentation
bin1101100011100010011…
…1011011111101111000
3211021002200020000200212
43120320213123331320
512303413243034443
6254552133450252
722552636105010
oct3307047337570
9737080200625
10232878096248
118a843683576
12391724a0988
1318c63a561b5
14b3b287cc40
1560ceab2618
hex36389dbf78

232878096248 has 128 divisors (see below), whose sum is σ = 533690726400. Its totient is φ = 92994048000.

The previous prime is 232878096239. The next prime is 232878096257. The reversal of 232878096248 is 842690878232.

It is an interprime number because it is at equal distance from previous prime (232878096239) and next prime (232878096257).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44704268 + ... + 44709476.

It is an arithmetic number, because the mean of its divisors is an integer number (4169458800).

Almost surely, 2232878096248 is an apocalyptic number.

232878096248 is a gapful number since it is divisible by the number (28) 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 232878096248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266845363200).

232878096248 is an abundant number, since it is smaller than the sum of its proper divisors (300812630152).

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

232878096248 is a wasteful number, since it uses less digits than its factorization.

232878096248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 232878096248 in words is "two hundred thirty-two billion, eight hundred seventy-eight million, ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 151 238 302 311 476 604 622 952 1057 1208 1244 2114 2177 2488 2567 4228 4354 5134 5209 5287 8456 8708 10268 10418 10574 17416 17969 20536 20836 21148 35938 36463 37009 41672 42296 46961 71876 72926 74018 88553 93922 143752 145852 148036 177106 187844 291704 296072 328727 354212 375688 619871 657454 708424 786559 798337 1239742 1314908 1573118 1596674 1619999 2479484 2629816 3146236 3193348 3239998 4958968 5505913 5588359 6292472 6386696 6479996 11011826 11176718 11339993 12959992 13371503 22023652 22353436 22679986 26743006 27539983 44047304 44706872 45359972 53486012 55079966 90719944 93600521 106972024 110159932 187201042 192779881 220319864 244619849 374402084 385559762 489239698 748804168 771119524 978479396 1542239048 1712338943 1956958792 3424677886 4158537433 6849355772 8317074866 13698711544 16634149732 29109762031 33268299464 58219524062 116439048124 232878096248