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83711848900 = 2252289332
BaseRepresentation
bin100110111110110011…
…1010111000111000100
322000002000121112110011
41031331213113013010
52332420213131100
6102242351240004
76022312655341
oct1157547270704
9260060545404
1083711848900
113255817a0a9
1214282b19004
137b81146a04
1440a1b217c8
15229e2c5bba
hex137d9d71c4

83711848900 has 27 divisors (see below), whose sum is σ = 181660990791. Its totient is φ = 33483582240.

The previous prime is 83711848867. The next prime is 83711848907. The reversal of 83711848900 is 984811738.

The square root of 83711848900 is 289330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1108490436 + 82603358464 = 33294^2 + 287408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83711848907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2878834 + ... + 2907766.

Almost surely, 283711848900 is an apocalyptic number.

83711848900 is the 289330-th square number.

It is an amenable number.

83711848900 is an abundant number, since it is smaller than the sum of its proper divisors (97949141891).

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

83711848900 is an frugal number, since it uses more digits than its factorization.

83711848900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57880 (or 28940 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 83711848900 by its sum of digits (49), we get a square (4101880596100 = 20253102).

The spelling of 83711848900 in words is "eighty-three billion, seven hundred eleven million, eight hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 28933 57866 115732 144665 289330 578660 723325 1446650 2893300 837118489 1674236978 3348473956 4185592445 8371184890 16742369780 20927962225 41855924450 83711848900