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42473766384 = 24327371138829
BaseRepresentation
bin100111100011101000…
…100011110111110000
311001122001212220000200
4213203220203313300
51143441241011014
631302344115200
73032353025460
oct474350436760
9131561786020
1042473766384
1117016374375
128294465b00
13400b72815a
1420acd4dba0
151188c7ea09
hex9e3a23df0

42473766384 has 120 divisors (see below), whose sum is σ = 139520340960. Its totient is φ = 11807368704.

The previous prime is 42473766367. The next prime is 42473766389. The reversal of 42473766384 is 48366737424.

42473766384 is a `hidden beast` number, since 42 + 473 + 76 + 63 + 8 + 4 = 666.

It is a super-3 number, since 3×424737663843 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42473766384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42473766389) 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 23 ways as a sum of consecutive naturals, for example, 532119 + ... + 606710.

It is an arithmetic number, because the mean of its divisors is an integer number (1162669508).

Almost surely, 242473766384 is an apocalyptic number.

It is an amenable number.

42473766384 is an abundant number, since it is smaller than the sum of its proper divisors (97046574576).

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

42473766384 is a wasteful number, since it uses less digits than its factorization.

42473766384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138887 (or 1138878 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 42473766384 in words is "forty-two billion, four hundred seventy-three million, seven hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 1138829 2277658 3416487 4555316 6832974 7971803 9110632 10249461 13665948 15943606 18221264 20498922 23915409 27331896 31887212 40997844 42136673 47830818 54663792 63774424 71746227 81995688 84273346 95661636 126410019 127548848 143492454 163991376 168546692 191323272 252820038 286984908 294956711 337093384 379230057 382646544 505640076 573969816 589913422 674186768 758460114 884870133 1011280152 1147939632 1179826844 1516920228 1769740266 2022560304 2359653688 2654610399 3033840456 3539480532 4719307376 5309220798 6067680912 7078961064 10618441596 14157922128 21236883192 42473766384