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46426422042 = 232711132576669
BaseRepresentation
bin101011001111001110…
…101111101100011010
311102211112111121020200
4223033032233230122
51230040131001132
633154503203030
73232330035060
oct531716575432
9142745447220
1046426422042
1118764561040
128bb8146476
1344bb5b1160
142365c9c030
15131aca1d7c
hexacf3afb1a

46426422042 has 96 divisors (see below), whose sum is σ = 135058734720. Its totient is φ = 11131205760.

The previous prime is 46426422023. The next prime is 46426422067. The reversal of 46426422042 is 24022462464.

46426422042 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 642 + 2 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46426421988 and 46426422006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270317 + ... + 1306352.

It is an arithmetic number, because the mean of its divisors is an integer number (1406861820).

Almost surely, 246426422042 is an apocalyptic number.

46426422042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

46426422042 is an abundant number, since it is smaller than the sum of its proper divisors (88632312678).

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

46426422042 is a wasteful number, since it uses less digits than its factorization.

46426422042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576708 (or 2576705 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 46426422042 in words is "forty-six billion, four hundred twenty-six million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 2576669 5153338 7730007 15460014 18036683 23190021 28343359 33496697 36073366 46380042 54110049 56686718 66993394 85030077 100490091 108220098 162330147 170060154 198403513 200980182 234476879 255090231 301470273 324660294 368463667 396807026 468953758 510180462 595210539 602940546 703430637 736927334 1105391001 1190421078 1406861274 1785631617 2110291911 2210782002 2579245669 3316173003 3571263234 4220583822 5158491338 6632346006 7737737007 15475474014 23213211021 46426422042