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1997374272900 = 22352101197334619
BaseRepresentation
bin11101000100001100110…
…010001011010110000100
321001221120110002002112020
4131010030302023112010
5230211110303213100
64125325302323140
7264206540123016
oct35041462132604
97057513062466
101997374272900
11700099784196
122831307294b0
131164755842b6
146c95dc721b6
1536e527195a0
hex1d10cc8b584

1997374272900 has 144 divisors (see below), whose sum is σ = 5865931431360. Its totient is φ = 524681024000.

The previous prime is 1997374272899. The next prime is 1997374272911. The reversal of 1997374272900 is 92724737991.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 5801791 + ... + 6136409.

It is an arithmetic number, because the mean of its divisors is an integer number (40735634940).

Almost surely, 21997374272900 is an apocalyptic number.

1997374272900 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 1997374272900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932965715680).

1997374272900 is an abundant number, since it is smaller than the sum of its proper divisors (3868557158460).

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

1997374272900 is a wasteful number, since it uses less digits than its factorization.

1997374272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334934 (or 334927 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 60.

The spelling of 1997374272900 in words is "one trillion, nine hundred ninety-seven billion, three hundred seventy-four million, two hundred seventy-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 197 202 300 303 394 404 505 591 606 788 985 1010 1182 1212 1515 1970 2020 2364 2525 2955 3030 3940 4925 5050 5910 6060 7575 9850 10100 11820 14775 15150 19700 19897 29550 30300 39794 59100 59691 79588 99485 119382 198970 238764 298455 334619 397940 497425 596910 669238 994850 1003857 1193820 1338476 1492275 1673095 1989700 2007714 2984550 3346190 4015428 5019285 5969100 6692380 8365475 10038570 16730950 20077140 25096425 33461900 33796519 50192850 65919943 67593038 100385700 101389557 131839886 135186076 168982595 197759829 202779114 263679772 329599715 337965190 395519658 405558228 506947785 659199430 675930380 791039316 844912975 988799145 1013895570 1318398860 1647998575 1689825950 1977598290 2027791140 2534738925 3295997150 3379651900 3955196580 4943995725 5069477850 6591994300 6657914243 9887991450 10138955700 13315828486 19775982900 19973742729 26631656972 33289571215 39947485458 66579142430 79894970916 99868713645 133158284860 166447856075 199737427290 332895712150 399474854580 499343568225 665791424300 998687136450 1997374272900