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168342805056 = 26319913733209
BaseRepresentation
bin1001110011001000000…
…0110101101001000000
3121002112002200120000210
42130302000311221000
510224231224230211
6205200254314120
715106456143006
oct2346200655100
9532462616023
10168342805056
1165437141078
12287617b8940
1312b4a81706a
14820d934a76
1545a40ee9a6
hex2732035a40

168342805056 has 112 divisors (see below), whose sum is σ = 448110864000. Its totient is φ = 55774236672.

The previous prime is 168342805051. The next prime is 168342805153. The reversal of 168342805056 is 650508243861.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 168342804996 and 168342805014.

It is not an unprimeable number, because it can be changed into a prime (168342805051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52457980 + ... + 52461188.

Almost surely, 2168342805056 is an apocalyptic number.

168342805056 is a gapful number since it is divisible by the number (16) 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 168342805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224055432000).

168342805056 is an abundant number, since it is smaller than the sum of its proper divisors (279768058944).

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

168342805056 is a wasteful number, since it uses less digits than its factorization.

168342805056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 168342805056 in words is "one hundred sixty-eight billion, three hundred forty-two million, eight hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1373 1592 2388 2746 3184 3209 4119 4776 5492 6368 6418 8238 9552 9627 10984 12736 12836 16476 19104 19254 21968 25672 32952 38208 38508 43936 51344 65904 77016 87872 102688 131808 154032 205376 263616 273227 308064 546454 616128 638591 819681 1092908 1277182 1639362 1915773 2185816 2554364 3278724 3831546 4371632 4405957 5108728 6557448 7663092 8743264 8811914 10217456 13114896 13217871 15326184 17486528 17623828 20434912 26229792 26435742 30652368 35247656 40869824 52459584 52871484 61304736 70495312 105742968 122609472 140990624 211485936 281981248 422971872 845943744 876785443 1753570886 2630356329 3507141772 5260712658 7014283544 10521425316 14028567088 21042850632 28057134176 42085701264 56114268352 84171402528 168342805056