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19793676100 = 225211212792
BaseRepresentation
bin10010011011110010…
…111000011101000100
31220002110021221001211
4102123302320131010
5311014140113400
613032035101204
71300335320332
oct223362703504
956073257054
1019793676100
118438017900
123a04a41804
131b35a180a3
14d5ab38b52
157acab2dba
hex49bcb8744

19793676100 has 81 divisors (see below), whose sum is σ = 47248949181. Its totient is φ = 7192072800.

The previous prime is 19793676041. The next prime is 19793676101. The reversal of 19793676100 is 167639791.

The square root of 19793676100 is 140690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7125723396 + 12667952704 = 84414^2 + 112552^2 .

It is a super-2 number, since 2×197936761002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19793676101) 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 26 ways as a sum of consecutive naturals, for example, 15475261 + ... + 15476539.

Almost surely, 219793676100 is an apocalyptic number.

19793676100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19793676100 is the 140690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19793676100

19793676100 is an abundant number, since it is smaller than the sum of its proper divisors (27455273081).

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

19793676100 is a wasteful number, since it uses less digits than its factorization.

19793676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

Multiplying 19793676100 by its sum of digits (49), we get a square (969890128900 = 9848302).

The spelling of 19793676100 in words is "nineteen billion, seven hundred ninety-three million, six hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1279 2420 2558 3025 5116 6050 6395 12100 12790 14069 25580 28138 31975 56276 63950 70345 127900 140690 154759 281380 309518 351725 619036 703450 773795 1406900 1547590 1635841 3095180 3271682 3868975 6543364 7737950 8179205 15475900 16358410 17994251 32716820 35988502 40896025 71977004 81792050 89971255 163584100 179942510 197936761 359885020 395873522 449856275 791747044 899712550 989683805 1799425100 1979367610 3958735220 4948419025 9896838050 19793676100