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342366415552 = 2674368326021
BaseRepresentation
bin1001111101101101010…
…00001110101011000000
31012201201002210221010001
410332312220032223000
521102131300244202
6421140404245344
733510105342010
oct4766650165300
91181632727101
10342366415552
11122218a09377
12564299a0854
132639223b455
14127dbb09c40
158d8bcd5d87
hex4fb6a0eac0

342366415552 has 112 divisors (see below), whose sum is σ = 795688641792. Its totient is φ = 143100840960.

The previous prime is 342366415511. The next prime is 342366415553. The reversal of 342366415552 is 255514663243.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (342366415553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13144302 + ... + 13170322.

Almost surely, 2342366415552 is an apocalyptic number.

342366415552 is a gapful number since it is divisible by the number (32) 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 342366415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397844320896).

342366415552 is an abundant number, since it is smaller than the sum of its proper divisors (453322226240).

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

342366415552 is a wasteful number, since it uses less digits than its factorization.

342366415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26766 (or 26756 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 46.

The spelling of 342366415552 in words is "three hundred forty-two billion, three hundred sixty-six million, four hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 683 688 1204 1366 1376 2408 2732 2752 4781 4816 5464 9562 9632 10928 19124 19264 21856 26021 29369 38248 43712 52042 58738 76496 104084 117476 152992 182147 205583 208168 234952 305984 364294 411166 416336 469904 728588 822332 832672 939808 1118903 1457176 1644664 1665344 1879616 2237806 2914352 3289328 4475612 5828704 6578656 7832321 8951224 11657408 13157312 15664642 17772343 17902448 31329284 35544686 35804896 62658568 71089372 71609792 124406401 125317136 142178744 248812802 250634272 284357488 497625604 501268544 568714976 764210749 995251208 1137429952 1528421498 1990502416 3056842996 3981004832 5349475243 6113685992 7962009664 10698950486 12227371984 21397900972 24454743968 42795801944 48909487936 85591603888 171183207776 342366415552