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88087340208 = 243712713914851
BaseRepresentation
bin101001000001001101…
…0100010010010110000
322102100221212112010210
41102002122202102300
52420400324341313
6104244453224120
76235613015640
oct1220232422260
9272327775123
1088087340208
11343a300951a
12150a4332040
1383ca7a831a
144398c9a520
1524584bc9c3
hex14826a24b0

88087340208 has 160 divisors (see below), whose sum is σ = 264018657280. Its totient is φ = 24788332800.

The previous prime is 88087340179. The next prime is 88087340227. The reversal of 88087340208 is 80204378088.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5923983 + ... + 5938833.

It is an arithmetic number, because the mean of its divisors is an integer number (1650116608).

Almost surely, 288087340208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88087340208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132009328640).

88087340208 is an abundant number, since it is smaller than the sum of its proper divisors (175931317072).

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

88087340208 is a wasteful number, since it uses less digits than its factorization.

88087340208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 88087340208 in words is "eighty-eight billion, eighty-seven million, three hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 139 168 254 278 336 381 417 508 556 762 834 889 973 1016 1112 1524 1668 1778 1946 2032 2224 2667 2919 3048 3336 3556 3892 5334 5838 6096 6672 7112 7784 10668 11676 14224 14851 15568 17653 21336 23352 29702 35306 42672 44553 46704 52959 59404 70612 89106 103957 105918 118808 123571 141224 178212 207914 211836 237616 247142 282448 311871 356424 370713 415828 423672 494284 623742 712848 741426 831656 847344 988568 1247484 1482852 1663312 1886077 1977136 2064289 2494968 2965704 3772154 4128578 4989936 5658231 5931408 6192867 7544308 8257156 11316462 12385734 13202539 14450023 15088616 16514312 22632924 24771468 26405078 28900046 30177232 33028624 39607617 43350069 45265848 49542936 52810156 57800092 79215234 86700138 90531696 99085872 105620312 115600184 158430468 173400276 211240624 231200368 262164703 316860936 346800552 524329406 633721872 693601104 786494109 1048658812 1572988218 1835152921 2097317624 3145976436 3670305842 4194635248 5505458763 6291952872 7340611684 11010917526 12583905744 14681223368 22021835052 29362446736 44043670104 88087340208