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78235573896 = 23331930376277
BaseRepresentation
bin100100011011100110…
…1000001111010001000
321110221101000221102000
41020313031001322020
52240211301331041
655535123511000
75436515256114
oct1106715017210
9243841027360
1078235573896
11301a7a3a697
12131b4b28460
1374ba71babc
143b026c2744
15207d640bb6
hex1237341e88

78235573896 has 128 divisors (see below), whose sum is σ = 228870768000. Its totient is φ = 24693901056.

The previous prime is 78235573831. The next prime is 78235573901. The reversal of 78235573896 is 69837553287.

78235573896 is a `hidden beast` number, since 78 + 2 + 3 + 557 + 3 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×782355738962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12460710 + ... + 12466986.

It is an arithmetic number, because the mean of its divisors is an integer number (1788052875).

Almost surely, 278235573896 is an apocalyptic number.

78235573896 is a gapful number since it is divisible by the number (76) 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 78235573896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114435384000).

78235573896 is an abundant number, since it is smaller than the sum of its proper divisors (150635194104).

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

78235573896 is a wasteful number, since it uses less digits than its factorization.

78235573896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9338 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 78235573896 in words is "seventy-eight billion, two hundred thirty-five million, five hundred seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3037 4104 6074 6277 9111 12148 12554 18222 18831 24296 25108 27333 36444 37662 50216 54666 56493 57703 72888 75324 81999 109332 112986 115406 119263 150648 163998 169479 173109 218664 225972 230812 238526 327996 338958 346218 357789 451944 461624 477052 519327 655992 677916 692436 715578 954104 1038654 1073367 1355832 1384872 1431156 1557981 2077308 2146734 2862312 3115962 3220101 4154616 4293468 6231924 6440202 8586936 12463848 12880404 19063249 25760808 38126498 57189747 76252996 114379494 152505992 171569241 228758988 343138482 362201731 457517976 514707723 686276964 724403462 1029415446 1086605193 1372553928 1448806924 2058830892 2173210386 2897613848 3259815579 4117661784 4346420772 6519631158 8692841544 9779446737 13039262316 19558893474 26078524632 39117786948 78235573896