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87421414212 = 223311351120959
BaseRepresentation
bin101000101101010111…
…0001110101101000100
322100122112210222102000
41101122232032231010
52413014340223322
6104054424145300
76213245521506
oct1213256165504
9270575728360
1087421414212
1134091122460
1214b39308230
138322839382
144334671d76
152419ccb3ac
hex145ab8eb44

87421414212 has 96 divisors (see below), whose sum is σ = 247334707200. Its totient is φ = 26482528800.

The previous prime is 87421414181. The next prime is 87421414229. The reversal of 87421414212 is 21241412478.

It is a happy number.

87421414212 is a `hidden beast` number, since 8 + 7 + 4 + 21 + 414 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4160589 + ... + 4181547.

It is an arithmetic number, because the mean of its divisors is an integer number (2576403200).

Almost surely, 287421414212 is an apocalyptic number.

It is an amenable number.

87421414212 is an abundant number, since it is smaller than the sum of its proper divisors (159913292988).

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

87421414212 is a wasteful number, since it uses less digits than its factorization.

87421414212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24486 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The spelling of 87421414212 in words is "eighty-seven billion, four hundred twenty-one million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3511 7022 10533 14044 20959 21066 31599 38621 41918 42132 62877 63198 77242 83836 94797 115863 125754 126396 154484 188631 189594 230549 231726 251508 347589 377262 379188 461098 463452 565893 691647 695178 754524 922196 1042767 1131786 1383294 1390356 2074941 2085534 2263572 2766588 4149882 4171068 6224823 8299764 12449646 24899292 73587049 147174098 220761147 294348196 441522294 662283441 809457539 883044588 1324566882 1618915078 1986850323 2428372617 2649133764 3237830156 3973700646 4856745234 7285117851 7947401292 9713490468 14570235702 21855353553 29140471404 43710707106 87421414212