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20197635200 = 275259106979
BaseRepresentation
bin10010110011110111…
…110111010010000000
31221010121102011202222
4102303313313102000
5312331043311300
613140105230212
71313342031551
oct226367672200
957117364688
1020197635200
1186250472a6
123ab8192368
131b9b614742
14d98650328
157d32a9785
hex4b3df7480

20197635200 has 96 divisors (see below), whose sum is σ = 50740614000. Its totient is φ = 7942046720.

The previous prime is 20197635197. The next prime is 20197635203. The reversal of 20197635200 is 253679102.

It is an interprime number because it is at equal distance from previous prime (20197635197) and next prime (20197635203).

It is not an unprimeable number, because it can be changed into a prime (20197635203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135311 + ... + 242289.

Almost surely, 220197635200 is an apocalyptic number.

20197635200 is a gapful number since it is divisible by the number (20) 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 20197635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25370307000).

20197635200 is an abundant number, since it is smaller than the sum of its proper divisors (30542978800).

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

20197635200 is a wasteful number, since it uses less digits than its factorization.

20197635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107062 (or 107045 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 20197635200 in words is "twenty billion, one hundred ninety-seven million, six hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 295 320 400 472 590 640 800 944 1180 1475 1600 1888 2360 2950 3200 3776 4720 5900 7552 9440 11800 18880 23600 37760 47200 94400 106979 188800 213958 427916 534895 855832 1069790 1711664 2139580 2674475 3423328 4279160 5348950 6311761 6846656 8558320 10697900 12623522 13693312 17116640 21395800 25247044 31558805 34233280 42791600 50494088 63117610 68466560 85583200 100988176 126235220 157794025 171166400 201976352 252470440 315588050 342332800 403952704 504940880 631176100 807905408 1009881760 1262352200 2019763520 2524704400 4039527040 5049408800 10098817600 20197635200