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197797111272 = 23334765329837
BaseRepresentation
bin1011100000110110100…
…0000110010111101000
3200220112211011100021000
42320031220012113220
511220042030030042
6230511114315000
720201411463615
oct2701550062750
9626484140230
10197797111272
1176981349302
1232401a28a60
1315862b18a17
1498056d150c
155229d8674c
hex2e0da065e8

197797111272 has 128 divisors (see below), whose sum is σ = 562004697600. Its totient is φ = 64428574464.

The previous prime is 197797111261. The next prime is 197797111277. The reversal of 197797111272 is 272111797791.

197797111272 is a `hidden beast` number, since 197 + 79 + 7 + 111 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (197797111277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6614338 + ... + 6644174.

It is an arithmetic number, because the mean of its divisors is an integer number (4390661700).

Almost surely, 2197797111272 is an apocalyptic number.

197797111272 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 197797111272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281002348800).

197797111272 is an abundant number, since it is smaller than the sum of its proper divisors (364207586328).

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

197797111272 is a wasteful number, since it uses less digits than its factorization.

197797111272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552 (or 30542 counting only the distinct ones).

The product of its digits is 777924, while the sum is 54.

The spelling of 197797111272 in words is "one hundred ninety-seven billion, seven hundred ninety-seven million, one hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 653 846 1128 1269 1306 1692 1959 2538 2612 3384 3918 5076 5224 5877 7836 10152 11754 15672 17631 23508 29837 30691 35262 47016 59674 61382 70524 89511 92073 119348 122764 141048 179022 184146 238696 245528 268533 276219 358044 368292 537066 552438 716088 736584 805599 828657 1074132 1104876 1402339 1611198 1657314 2148264 2209752 2804678 3222396 3314628 4207017 5609356 6444792 6629256 8414034 11218712 12621051 16828068 19483561 25242102 33656136 37863153 38967122 50484204 58450683 75726306 77934244 100968408 116901366 151452612 155868488 175352049 233802732 302905224 350704098 467605464 526056147 701408196 915727367 1052112294 1402816392 1831454734 2104224588 2747182101 3662909468 4208449176 5494364202 7325818936 8241546303 10988728404 16483092606 21977456808 24724638909 32966185212 49449277818 65932370424 98898555636 197797111272