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88098601900 = 225217143936013
BaseRepresentation
bin101001000001100010…
…1011111101110101100
322102101202001200021111
41102003011133232230
52420411220230100
6104245534441404
76236110521601
oct1220305375654
9272352050244
1088098601900
11343a9400601
12150a8063264
1383ccc1c24a
14439a58c6a8
1524594946ba
hex148315fbac

88098601900 has 72 divisors (see below), whose sum is σ = 202565784960. Its totient is φ = 33142563840.

The previous prime is 88098601891. The next prime is 88098601901. The reversal of 88098601900 is 910689088.

It is a happy number.

It is a super-2 number, since 2×880986019002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88098601901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428294 + ... + 2464306.

It is an arithmetic number, because the mean of its divisors is an integer number (2813413680).

Almost surely, 288098601900 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 88098601900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101282892480).

88098601900 is an abundant number, since it is smaller than the sum of its proper divisors (114467183060).

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

88098601900 is a wasteful number, since it uses less digits than its factorization.

88098601900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37483 (or 37476 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 88098601900 in words is "eighty-eight billion, ninety-eight million, six hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1439 1700 2878 5756 7195 14390 24463 28780 35975 36013 48926 71950 72026 97852 122315 143900 144052 180065 244630 360130 489260 611575 612221 720260 900325 1223150 1224442 1800650 2446300 2448884 3061105 3601300 6122210 12244420 15305525 30611050 51822707 61222100 103645414 207290828 259113535 518227070 880986019 1036454140 1295567675 1761972038 2591135350 3523944076 4404930095 5182270700 8809860190 17619720380 22024650475 44049300950 88098601900