Search a number
-
+
87534630912 = 211317838069
BaseRepresentation
bin101000110000101111…
…0000111100000000000
322100221102211222112010
41101201132013200000
52413232331142122
6104113550532520
76216122041401
oct1214136074000
9270842758463
1087534630912
113413a020883
1214b6b207140
1383401298c1
1443457039a8
152424be1e0c
hex1461787800

87534630912 has 96 divisors (see below), whose sum is σ = 247096558800. Its totient is φ = 27461812224.

The previous prime is 87534630907. The next prime is 87534630919. The reversal of 87534630912 is 21903643578.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87534630919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314587 + ... + 523482.

It is a 1-persistent number, because it is pandigital, but 2⋅87534630912 = 175069261824 is not.

Almost surely, 287534630912 is an apocalyptic number.

It is an amenable number.

87534630912 is an abundant number, since it is smaller than the sum of its proper divisors (159561927888).

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

87534630912 is a wasteful number, since it uses less digits than its factorization.

87534630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838111 (or 838091 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 87534630912 in words is "eighty-seven billion, five hundred thirty-four million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 52224 104448 838069 1676138 2514207 3352276 5028414 6704552 10056828 13409104 14247173 20113656 26818208 28494346 40227312 42741519 53636416 56988692 80454624 85483038 107272832 113977384 160909248 170966076 214545664 227954768 321818496 341932152 429091328 455909536 643636992 683864304 858182656 911819072 1287273984 1367728608 1716365312 1823638144 2574547968 2735457216 3647276288 5149095936 5470914432 7294552576 10941828864 14589105152 21883657728 29178210304 43767315456 87534630912