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87474038064 = 2437614267859
BaseRepresentation
bin101000101110111011…
…0111110010100110000
322100210012211112202120
41101131312332110300
52413121323204224
6104103544114240
76214455025020
oct1213566762460
9270705745676
1087474038064
11341088a5546
1214b52a65980
138330702b4a
14433b64da80
15241e723779
hex145ddbe530

87474038064 has 80 divisors (see below), whose sum is σ = 262490461440. Its totient is φ = 24582862080.

The previous prime is 87474038063. The next prime is 87474038123. The reversal of 87474038064 is 46083047478.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87474037998 and 87474038016.

It is not an unprimeable number, because it can be changed into a prime (87474038063) 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, 2113434 + ... + 2154425.

It is an arithmetic number, because the mean of its divisors is an integer number (3281130768).

Almost surely, 287474038064 is an apocalyptic number.

87474038064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87474038064 is an abundant number, since it is smaller than the sum of its proper divisors (175016423376).

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

87474038064 is a wasteful number, since it uses less digits than its factorization.

87474038064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267938 (or 4267932 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 87474038064 in words is "eighty-seven billion, four hundred seventy-four million, thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496 4267859 8535718 12803577 17071436 25607154 29875013 34142872 51214308 59750026 68285744 89625039 102428616 119500052 179250078 204857232 239000104 260339399 358500156 478000208 520678798 717000312 781018197 1041357596 1434000624 1562036394 1822375793 2082715192 3124072788 3644751586 4165430384 5467127379 6248145576 7289503172 10934254758 12496291152 14579006344 21868509516 29158012688 43737019032 87474038064