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112024467984 = 243111371922699
BaseRepresentation
bin110100001010100101…
…1011011101000010000
3101201011011210121100210
41220111023123220100
53313411230433414
6123244025044120
711044033160322
oct1502513335020
9351134717323
10112024467984
1143566989950
1219864926640
13a743a60260
1455ca00b612
152da9bdee59
hex1a152dba10

112024467984 has 160 divisors (see below), whose sum is σ = 340478208000. Its totient is φ = 31290554880.

The previous prime is 112024467967. The next prime is 112024468001. The reversal of 112024467984 is 489764420211.

It is an interprime number because it is at equal distance from previous prime (112024467967) and next prime (112024468001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923867 + ... + 4946565.

It is an arithmetic number, because the mean of its divisors is an integer number (2127988800).

Almost surely, 2112024467984 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 112024467984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170239104000).

112024467984 is an abundant number, since it is smaller than the sum of its proper divisors (228453740016).

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

112024467984 is a wasteful number, since it uses less digits than its factorization.

112024467984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23453 (or 23447 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 112024467984 in words is "one hundred twelve billion, twenty-four million, four hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 719 858 1144 1438 1716 2157 2288 2876 3432 4314 5752 6864 7909 8628 9347 11504 15818 17256 18694 22699 23727 28041 31636 34512 37388 45398 47454 56082 63272 68097 74776 90796 94908 102817 112164 126544 136194 149552 181592 189816 205634 224328 249689 272388 295087 308451 363184 379632 411268 448656 499378 544776 590174 616902 749067 822536 885261 998756 1089552 1180348 1233804 1498134 1645072 1770522 1997512 2360696 2467608 2996268 3245957 3541044 3995024 4721392 4935216 5992536 6491914 7082088 9737871 11985072 12983828 14164176 16320581 19475742 25967656 32641162 38951484 48961743 51935312 65282324 77902968 97923486 130564648 155805936 179526391 195846972 212167553 261129296 359052782 391693944 424335106 538579173 636502659 718105564 783387888 848670212 1077158346 1273005318 1436211128 1697340424 2154316692 2333843083 2546010636 2872422256 3394680848 4308633384 4667686166 5092021272 7001529249 8617266768 9335372332 10184042544 14003058498 18670744664 28006116996 37341489328 56012233992 112024467984