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199310971950 = 23352431342547
BaseRepresentation
bin1011100110011111011…
…1000001010000101110
3201001110022202102201000
42321213313001100232
511231142102100300
6231321233501130
720254053210606
oct2714767012056
9631408672630
10199310971950
1177588936232
1232764a117a6
1315a44651b7c
14990a7a1c06
1552b7c1cc00
hex2e67dc142e

199310971950 has 96 divisors (see below), whose sum is σ = 550488337920. Its totient is φ = 53026120800.

The previous prime is 199310971933. The next prime is 199310972017. The reversal of 199310971950 is 59179013991.

199310971950 is a `hidden beast` number, since 199 + 310 + 97 + 1 + 9 + 50 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410577 + ... + 753123.

It is an arithmetic number, because the mean of its divisors is an integer number (5734253520).

Almost surely, 2199310971950 is an apocalyptic number.

199310971950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199310971950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275244168960).

199310971950 is an abundant number, since it is smaller than the sum of its proper divisors (351177365970).

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

199310971950 is a wasteful number, since it uses less digits than its factorization.

199310971950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342999 (or 342988 counting only the distinct ones).

The product of its (nonzero) digits is 688905, while the sum is 54.

The spelling of 199310971950 in words is "one hundred ninety-nine billion, three hundred ten million, nine hundred seventy-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 431 450 675 862 1293 1350 2155 2586 3879 4310 6465 7758 10775 11637 12930 19395 21550 23274 32325 38790 58185 64650 96975 116370 193950 290925 342547 581850 685094 1027641 1712735 2055282 3082923 3425470 5138205 6165846 8563675 9248769 10276410 15414615 17127350 18497538 25691025 30829230 46243845 51382050 77073075 92487690 147637757 154146150 231219225 295275514 442913271 462438450 738188785 885826542 1328739813 1476377570 2214566355 2657479626 3690943925 3986219439 4429132710 6643699065 7381887850 7972438878 11072831775 13287398130 19931097195 22145663550 33218495325 39862194390 66436990650 99655485975 199310971950