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87349269408 = 2533129351233
BaseRepresentation
bin101000101011001101…
…1000001001110100000
322100110112001122100020
41101112123001032200
52412342403110113
6104043325553440
76211411353012
oct1212633011640
9270415048306
1087349269408
1134054426a55
1214b19115880
1383108c953b
144328c521b2
1524137ca023
hex14566c13a0

87349269408 has 48 divisors (see below), whose sum is σ = 236688350976. Its totient is φ = 28177182720.

The previous prime is 87349269391. The next prime is 87349269409. The reversal of 87349269408 is 80496294378.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×873492694082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87349269409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14672641 + ... + 14678592.

It is an arithmetic number, because the mean of its divisors is an integer number (4931007312).

Almost surely, 287349269408 is an apocalyptic number.

It is an amenable number.

87349269408 is an abundant number, since it is smaller than the sum of its proper divisors (149339081568).

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

87349269408 is a wasteful number, since it uses less digits than its factorization.

87349269408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29351277 (or 29351269 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 87349269408 in words is "eighty-seven billion, three hundred forty-nine million, two hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 29351233 58702466 88053699 117404932 176107398 234809864 352214796 469619728 704429592 909888223 939239456 1408859184 1819776446 2729664669 2817718368 3639552892 5459329338 7279105784 10918658676 14558211568 21837317352 29116423136 43674634704 87349269408