Search a number
-
+
112139306496 = 293371158847
BaseRepresentation
bin110100001110000000…
…1100000011000000000
3101201110011220000012000
41220130001200120000
53314130130301441
6123303250304000
711046626243430
oct1503401403000
9351404800160
10112139306496
1143615795808
1219897288000
13a76179aa39
1455db3822c0
152db4d262b6
hex1a1c060600

112139306496 has 160 divisors (see below), whose sum is σ = 379360481280. Its totient is φ = 32039774208.

The previous prime is 112139306467. The next prime is 112139306501. The reversal of 112139306496 is 694603931211.

112139306496 is a `hidden beast` number, since 1 + 121 + 3 + 9 + 30 + 6 + 496 = 666.

It is a super-2 number, since 2×1121393064962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482656 + ... + 676191.

It is an arithmetic number, because the mean of its divisors is an integer number (2371003008).

Almost surely, 2112139306496 is an apocalyptic number.

112139306496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112139306496 is an abundant number, since it is smaller than the sum of its proper divisors (267221174784).

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

112139306496 is an equidigital number, since it uses as much as digits as its factorization.

112139306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158881 (or 1158859 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 112139306496 in words is "one hundred twelve billion, one hundred thirty-nine million, three hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 1158847 2317694 3476541 4635388 6953082 8111929 9270776 10429623 13906164 16223858 18541552 20859246 24335787 27812328 31288869 32447716 37083104 41718492 48671574 55624656 62577738 64895432 73007361 74166208 83436984 97343148 111249312 125155476 129790864 146014722 148332416 166873968 194686296 219022083 222498624 250310952 259581728 292029444 296664832 333747936 389372592 438044166 444997248 500621904 519163456 584058888 593329664 667495872 778745184 876088332 889994496 1001243808 1038326912 1168117776 1334991744 1557490368 1752176664 1779988992 2002487616 2076653824 2336235552 2669983488 3114980736 3504353328 4004975232 4153307648 4672471104 5339966976 6229961472 7008706656 8009950464 9344942208 12459922944 14017413312 16019900928 18689884416 28034826624 37379768832 56069653248 112139306496