Search a number
-
+
197108264714120 = 235192945719569379
BaseRepresentation
bin101100110100010011011000…
…000110011011111110001000
3221211220100212212112002202222
4230310103120012123332020
5201313410211231322440
61535114141534313212
756342413356043364
oct5464233006337610
9854810785462688
10197108264714120
1157894166913821
121a134a9b058808
1385ca2ca5a66c6
14369613b6822a4
1517bc38941e2b5
hexb344d819bf88

197108264714120 has 128 divisors (see below), whose sum is σ = 483989906160000. Its totient is φ = 71960203671552.

The previous prime is 197108264714099. The next prime is 197108264714167. The reversal of 197108264714120 is 21417462801791.

It is a super-2 number, since 2×1971082647141202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287591 + ... + 19856969.

It is an arithmetic number, because the mean of its divisors is an integer number (3781171141875).

Almost surely, 2197108264714120 is an apocalyptic number.

197108264714120 is a gapful number since it is divisible by the number (10) 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 197108264714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241994953080000).

197108264714120 is an abundant number, since it is smaller than the sum of its proper divisors (286881641445880).

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

197108264714120 is a wasteful number, since it uses less digits than its factorization.

197108264714120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569895 (or 19569891 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 197108264714120 in words is "one hundred ninety-seven trillion, one hundred eight billion, two hundred sixty-four million, seven hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 457 551 580 760 914 1102 1160 1828 2204 2285 2755 3656 4408 4570 5510 8683 9140 11020 13253 17366 18280 22040 26506 34732 43415 53012 66265 69464 86830 106024 132530 173660 251807 265060 347320 503614 530120 1007228 1259035 2014456 2518070 5036140 10072280 19569379 39138758 78277516 97846895 156555032 195693790 371818201 391387580 567511991 743636402 782775160 1135023982 1487272804 1859091005 2270047964 2837559955 2974545608 3718182010 4540095928 5675119910 7436364020 8943206203 10782727829 11350239820 14872728040 17886412406 21565455658 22700479640 35772824812 43130911316 44716031015 53913639145 71545649624 86261822632 89432062030 107827278290 169920917857 178864124060 215654556580 259352979887 339841835714 357728248120 431309113160 518705959774 679683671428 849604589285 1037411919548 1296764899435 1359367342856 1699209178570 2074823839096 2593529798870 3398418357140 4927706617853 5187059597740 6796836714280 9855413235706 10374119195480 19710826471412 24638533089265 39421652942824 49277066178530 98554132357060 197108264714120