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198130897872 = 24322397616723
BaseRepresentation
bin1011100010000110000…
…1011001001111010000
3200221102002020110101200
42320201201121033100
511221233002212442
6231004200431200
720212603562445
oct2704141311720
9627362213350
10198130897872
11770327aa0a6
1232495778500
13158b701619b
149837b7b9cc
15524931b34c
hex2e218593d0

198130897872 has 120 divisors (see below), whose sum is σ = 584565543744. Its totient is φ = 62520809472.

The previous prime is 198130897819. The next prime is 198130897873. The reversal of 198130897872 is 278798031891.

198130897872 is a `hidden beast` number, since 198 + 1 + 308 + 9 + 78 + 72 = 666.

It is a super-3 number, since 3×1981308978723 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198130897873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12903 + ... + 629625.

Almost surely, 2198130897872 is an apocalyptic number.

198130897872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198130897872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292282771872).

198130897872 is an abundant number, since it is smaller than the sum of its proper divisors (386434645872).

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

198130897872 is a wasteful number, since it uses less digits than its factorization.

198130897872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616857 (or 616848 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 198130897872 in words is "one hundred ninety-eight billion, one hundred thirty million, eight hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 194 207 276 291 368 388 414 552 582 776 828 873 1104 1164 1552 1656 1746 2231 2328 3312 3492 4462 4656 6693 6984 8924 13386 13968 17848 20079 26772 35696 40158 53544 80316 107088 160632 321264 616723 1233446 1850169 2466892 3700338 4933784 5550507 7400676 9867568 11101014 14184629 14801352 22202028 28369258 29602704 42553887 44404056 56738516 59822131 85107774 88808112 113477032 119644262 127661661 170215548 179466393 226954064 239288524 255323322 340431096 358932786 478577048 510646644 538399179 680862192 717865572 957154096 1021293288 1076798358 1375909013 1435731144 2042586576 2153596716 2751818026 2871462288 4127727039 4307193432 5503636052 8255454078 8614386864 11007272104 12383181117 16510908156 22014544208 24766362234 33021816312 49532724468 66043632624 99065448936 198130897872