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197425914192 = 243313113311099
BaseRepresentation
bin1011011111011110000…
…0000110000101010000
3200212120221200120121000
42313313200012011100
511213312013223232
6230410214302000
720156253403443
oct2676740060520
9625527616530
10197425914192
1176800866461
1232319657900
1315803c50590
1497ac2a765a
1552074b227c
hex2df7806150

197425914192 has 160 divisors (see below), whose sum is σ = 615679344000. Its totient is φ = 60208662528.

The previous prime is 197425914137. The next prime is 197425914271. The reversal of 197425914192 is 291419524791.

197425914192 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 2 + 591 + 41 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 479059 + ... + 790157.

It is an arithmetic number, because the mean of its divisors is an integer number (3847995900).

Almost surely, 2197425914192 is an apocalyptic number.

197425914192 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 197425914192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307839672000).

197425914192 is an abundant number, since it is smaller than the sum of its proper divisors (418253429808).

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

197425914192 is a wasteful number, since it uses less digits than its factorization.

197425914192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311242 (or 311230 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 197425914192 in words is "one hundred ninety-seven billion, four hundred twenty-five million, nine hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 113 117 144 156 208 216 226 234 312 339 351 432 452 468 624 678 702 904 936 1017 1356 1404 1469 1808 1872 2034 2712 2808 2938 3051 4068 4407 5424 5616 5876 6102 8136 8814 11752 12204 13221 16272 17628 23504 24408 26442 35256 39663 48816 52884 70512 79326 105768 158652 211536 311099 317304 622198 634608 933297 1244396 1866594 2488792 2799891 3733188 4044287 4977584 5599782 7466376 8088574 8399673 11199564 12132861 14932752 16177148 16799346 22399128 24265722 32354296 33598692 35154187 36398583 44798256 48531444 64708592 67197384 70308374 72797166 97062888 105462561 109195749 134394768 140616748 145594332 194125776 210925122 218391498 281233496 291188664 316387683 421850244 436782996 457004431 562466992 582377328 632775366 843700488 873565992 914008862 949163049 1265550732 1371013293 1687400976 1747131984 1828017724 1898326098 2531101464 2742026586 3656035448 3796652196 4113039879 5062202928 5484053172 7312070896 7593304392 8226079758 10968106344 12339119637 15186608784 16452159516 21936212688 24678239274 32904319032 49356478548 65808638064 98712957096 197425914192