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42670208856 = 233112337189929
BaseRepresentation
bin100111101111010101…
…111011011101011000
311002010202112012102210
4213233111323131120
51144342033140411
631334042355120
73040256535162
oct475725733530
9132122465383
1042670208856
1117107247520
12832a1bbaa0
1340403380c2
1420cb087932
15119b134ca6
hex9ef57b758

42670208856 has 128 divisors (see below), whose sum is σ = 124715635200. Its totient is φ = 12033838080.

The previous prime is 42670208839. The next prime is 42670208869. The reversal of 42670208856 is 65880207624.

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, 129700 + ... + 319628.

It is an arithmetic number, because the mean of its divisors is an integer number (974340900).

Almost surely, 242670208856 is an apocalyptic number.

42670208856 is a gapful number since it is divisible by the number (46) 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 42670208856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62357817600).

42670208856 is an abundant number, since it is smaller than the sum of its proper divisors (82045426344).

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

42670208856 is a wasteful number, since it uses less digits than its factorization.

42670208856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190009 (or 190005 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 42670208856 in words is "forty-two billion, six hundred seventy million, two hundred eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 37 44 46 66 69 74 88 92 111 132 138 148 184 222 253 264 276 296 407 444 506 552 759 814 851 888 1012 1221 1518 1628 1702 2024 2442 2553 3036 3256 3404 4884 5106 6072 6808 9361 9768 10212 18722 20424 28083 37444 56166 74888 112332 189929 224664 379858 569787 759716 1139574 1519432 2089219 2279148 4178438 4368367 4558296 6267657 7027373 8356876 8736734 12535314 13105101 14054746 16713752 17473468 21082119 25070628 26210202 28109492 34946936 42164238 48052037 50141256 52420404 56218984 77301103 84328476 96104074 104840808 144156111 154602206 161629579 168656952 192208148 231903309 288312222 309204412 323259158 384416296 463806618 484888737 576624444 618408824 646518316 927613236 969777474 1153248888 1293036632 1777925369 1855226472 1939554948 3555850738 3879109896 5333776107 7111701476 10667552214 14223402952 21335104428 42670208856